diff --git "a/01. \320\236\321\201\320\275\320\276\320\262\321\213 \320\276\320\277\321\202\320\270\320\274\320\270\320\267\320\260\321\206\320\270\320\270 \320\262 Engee.ngscript" "b/01. \320\236\321\201\320\275\320\276\320\262\321\213 \320\276\320\277\321\202\320\270\320\274\320\270\320\267\320\260\321\206\320\270\320\270 \320\262 Engee.ngscript"
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--- "a/01. \320\236\321\201\320\275\320\276\320\262\321\213 \320\276\320\277\321\202\320\270\320\274\320\270\320\267\320\260\321\206\320\270\320\270 \320\262 Engee.ngscript"	
+++ "b/01. \320\236\321\201\320\275\320\276\320\262\321\213 \320\276\320\277\321\202\320\270\320\274\320\270\320\267\320\260\321\206\320\270\320\270 \320\262 Engee.ngscript"	
@@ -1 +1,1798 @@
-{"cells":[{"cell_type":"markdown","source":["# Основы оптимизации в Engee"],"id":"53aa3dad","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"9928c6a6"}},{"cell_type":"markdown","source":["В данном разделе используются функции из следующих библиотек языка **Julia**: <code>JuMP</code>, <code>GLPK</code>. Они предустановлены в **Engee**. Для их использования необходимо выполнить команду ниже:"],"id":"c6acee48","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"3a706497"}},{"outputs":[],"cell_type":"code","source":["Pkg.add([\"GLPK\", \"JuMP\"])"],"id":"mj0zrozt","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"nr3cdifd"},"execution_count":0},{"outputs":[],"cell_type":"code","source":["using JuMP, GLPK; "],"id":"2032a6e8","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"a10a64b1"},"execution_count":0},{"cell_type":"markdown","source":["`JuMP` (Julia for Mathematical Programming) – это библиотека с открытым исходным кодом, в которой реализован язык алгебраического моделирования, позволяющий пользователям формулировать широкий спектр задач оптимизации (линейные, нелинейные, с ограничениями и без ограничений). Сам язык моделирования не решает задач оптимизации, его цель\r\n– передать задачу в процедуру оптимизации (решатель или солвер). Подробную документацию можно найти на сайте https://jump.dev/.\r\n\r\nЗадачи, которые должен выполнять язык моделирования, можно\r\nусловно разделить на две части: \r\n1.   загрузить в память задачу, введенную пользователем;\r\n2.   сгенерировать входные данные, требуемые процедурой оптимизации в соответствии с типом задачи. \r\n\r\nОбе эти задачи решает библиотека `JuMP`, которая использует технику автоматического дифференцирования для вычисления производных выражений, введенных пользователем."],"id":"7fe6c94d","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"469337bb"}},{"cell_type":"markdown","source":["`GLPK` (GNU Linear Programming Kit library) – библиотека линейной оптимизации. Она предоставляет выбор большого числа решателей. Документацию по этой библиотеке можно найти на сайте http://www.gnu.org/software/glpk/."],"id":"ff458fb1","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"b6107c77"}},{"cell_type":"markdown","source":["## 1. Создание оптимизационной задачи и переменных\r\n\r\n"],"id":"b3c5b940","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"333288cd"}},{"cell_type":"markdown","source":["Создать оптимизационную задачу можно с помощью команды <code>Model()</code>. В скобках нужно указать название решателя, который будет использован для решения задачи, и сохранить команду в переменной.  \r\n**Например:**"],"id":"416ed921","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"c538cdca"}},{"outputs":[],"cell_type":"code","source":["optimization_problem = Model(GLPK.Optimizer)"],"id":"df8f4f0a","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"ae17fc58"},"execution_count":0},{"cell_type":"markdown","source":["Решатель можно также добавить позднее с помощью команды <code>set_optimizer()</code>. В скобках через запятую указывается имя оптимизационной задачи, которой присваивается переменная, и название решателя. **Например:**"],"id":"07418759","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"f0b4885a"}},{"outputs":[],"cell_type":"code","source":["set_optimizer(optimization_problem, GLPK.Optimizer)"],"id":"d925f1aa","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"7c74392f"},"execution_count":0},{"cell_type":"markdown","source":["Для объявления переменной без присваивания ей числового значения в **Engee** используется команда <code>@variable()</code>. В скобках через запятую указывается имя оптимизационной задачи, которой присваивается переменная, и имя самой переменной.\r\n**Например:**"],"id":"2a7876be","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"c8f66c7a"}},{"outputs":[],"cell_type":"code","source":["@variable(optimization_problem, opt_variable);"],"id":"90385932","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"15bc0931"},"execution_count":0},{"cell_type":"markdown","source":["Вы также можете задать границы возможных значений для вашей переменной. **Например:**"],"id":"899c0987","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"33f086db"}},{"outputs":[],"cell_type":"code","source":["@variable(optimization_problem, opt_variable_1 >= 1);"],"id":"3149ede7","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"e106b6a4"},"execution_count":0},{"cell_type":"markdown","source":["### ✏️Задание 1"],"id":"1e79d3f9","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"a218501d"}},{"cell_type":"markdown","source":["Чтобы добавить свой код в сценарий, нужно щелкнуть по серому полю, предназначенному для ввода кода. Когда нужный код добавлен, вы можете запустить его и узнать результат, щелкнув по кнопке **Запуска** ![image.png](data:image/svg+xml;base64,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) слева от ячейки."],"id":"45bf74a0","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"2e206579"}},{"cell_type":"markdown","source":["Создайте оптимизационную задачу, применив к ней линейный решатель <code>GLPK</code>, и сохраните ее в переменной <code>opt_prob</code>.      "],"id":"343b438e","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"2b2cdf69"}},{"outputs":[],"cell_type":"code","source":[""],"id":"0f1cc152","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"e3a52de3"},"execution_count":0},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"f0623764","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":1,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"ca478c67"}},{"outputs":[],"cell_type":"code","source":["opt_prob = Model(GLPK.Optimizer)"],"id":"bbc058a7","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"db3e5543"},"execution_count":0},{"cell_type":"markdown","source":["### ✏️Задание 2"],"id":"a4ac4c36","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"67d9bbbf"}},{"cell_type":"markdown","source":["Создайте переменную <code>x</code> и присвойте ее вашей оптимизационной задаче <code>opt_prob</code>."],"id":"91059fdb","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"72427e8b"}},{"outputs":[],"cell_type":"code","source":[""],"id":"afd3287b","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"b5915f14"},"execution_count":0},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"3d56f964","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":1,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"29cc99eb"}},{"outputs":[],"cell_type":"code","source":["@variable(opt_prob, x);"],"id":"4b7da73e","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"5ff80e51"},"execution_count":0},{"cell_type":"markdown","source":["### ✏️Задание 3"],"id":"7cdbd2ac","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"f19c6030"}},{"cell_type":"markdown","source":["Создайте переменную <code>y</code>, присвойте ее вашей оптимизационной задаче <code>opt_prob</code> и задайте границы: <code>y</code> больше или равно <code>1</code>, но меньше или равно <code>4</code>."],"id":"80109f18","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"b9f838b5"}},{"outputs":[],"cell_type":"code","source":[""],"id":"ea0ea730","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"3d586004"},"execution_count":0},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"a6cbbe26","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":1,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"6c849aba"}},{"outputs":[],"cell_type":"code","source":["@variable(opt_prob, 1 <= y <= 4)"],"id":"e27bbdeb","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"e9a4c030"},"execution_count":0},{"cell_type":"markdown","source":["## 2. Создание целевых функций"],"id":"f0098bb9","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"80c9076e"}},{"cell_type":"markdown","source":["Целевая функция – это функция, подлежащая оптимизации для решения оптимизационной задачи."],"id":"87e76786","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"6cd03466"}},{"cell_type":"markdown","source":["В зависимости от того, является ли функция линейной или нелинейной, целевая функция задается двумя разными командами. Линейная целевая функция задается командой <code>@objective()</code>, а нелинейная целевая функция – командой <code>@NLobjective()</code>.\r\n"],"id":"921b0e69","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"ea907a1e"}},{"cell_type":"markdown","source":["В скобках через запятую указывается название оптимизационной задачи, <code>Min</code> для минимизации или <code>Max</code> для максимизации и математическое выражение. **Например:**"],"id":"439ef356","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"acfa1ef0"}},{"outputs":[],"cell_type":"code","source":["@objective(optimization_problem, Min, opt_variable + 3*opt_variable_1)"],"id":"e735ea7f","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"1c7605ab"},"execution_count":0},{"cell_type":"markdown","source":["### ✏️Задание 4"],"id":"800e00d2","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"02bb5999"}},{"cell_type":"markdown","source":["Создайте линейную целевую функцию для оптимизационной задачи <code>opt_prob</code> с целью максимизировать выражение <code>y - x</code>."],"id":"ab38894e","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"8d775b0e"}},{"outputs":[],"cell_type":"code","source":[""],"id":"9672b15d","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"f3359422"},"execution_count":0},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"804e21d9","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":1,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"57961bea"}},{"outputs":[],"cell_type":"code","source":["@objective(opt_prob, Max, y - x)"],"id":"08040e3a","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"c6c8b8c3"},"execution_count":0},{"cell_type":"markdown","source":["## 3. Создание условий оптимизации  "],"id":"540b7427","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"8be97416"}},{"cell_type":"markdown","source":["Вы также можете задать условия, которые наложат ограничения на поиск оптимального решения задачи."],"id":"db72e04a","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"5189d507"}},{"cell_type":"markdown","source":["Так же, как и целевые функции, условия могут быть линейными и нелинейными. Линейные условия задаются командой <code>@constraint()</code>, а нелинейные – командой <code>@NLconstraint()</code>. "],"id":"2b0287bc","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"22dcd68d"}},{"cell_type":"markdown","source":["В скобках через запятую указывается название оптимизационной задачи и математическое выражение для условия. **Например:**"],"id":"e56dd3dc","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"3654ff30"}},{"outputs":[],"cell_type":"code","source":["@constraint(optimization_problem, opt_variable + opt_variable_1 >= 6)"],"id":"bd35b6d5","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"e826aaf2"},"execution_count":0},{"cell_type":"markdown","source":["### ✏️Задание 5 "],"id":"4bca0454","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"e7d21a3b"}},{"cell_type":"markdown","source":["Создайте линейное условие для оптимизационной задачи <code>opt_prob</code> где <code>x + y == 5</code>."],"id":"a22ac6c3","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"11633804"}},{"outputs":[],"cell_type":"code","source":[""],"id":"e8182492","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"4ec35bec"},"execution_count":0},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"627ee01c","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":1,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"a691eb98"}},{"outputs":[],"cell_type":"code","source":["@constraint(opt_prob, x + y == 5)"],"id":"233c43a6","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"61c68b1e"},"execution_count":0},{"cell_type":"markdown","source":["## 4. Решение оптимизационных задач"],"id":"c96b0117","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"400641f2"}},{"cell_type":"markdown","source":["Решить оптимизационную задачу можно с помощью команды <code>optimize!()</code>. В скобках указывается название оптимизационной задачи. **Например:**"],"id":"2c2f5e42","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"d795f80f"}},{"outputs":[],"cell_type":"code","source":["optimize!(optimization_problem)"],"id":"09ed84ff","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"aef8e90d"},"execution_count":0},{"cell_type":"markdown","source":["Просмотреть оптимизационную задачу можно с помощью команды <code>print()</code>. В скобках указывается название оптимизационной задачи. **Например:**"],"id":"f3f3d388","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"024d5ec3"}},{"outputs":[],"cell_type":"code","source":["print(optimization_problem)"],"id":"145a10d5","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"ab6f76d2"},"execution_count":0},{"cell_type":"markdown","source":["Просмотреть информацию о решении задачи можно с помощью команды <code>solution_summary()</code>. В скобках указывается название оптимизационной задачи. Например:"],"id":"08bf341e","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"c31dfa44"}},{"outputs":[],"cell_type":"code","source":["solution_summary(optimization_problem)"],"id":"3892e462","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"c7682ddc"},"execution_count":0},{"cell_type":"markdown","source":["Просмотреть целевое значение можно с помощью команды <code>objective_value()</code>. В скобках указывается название оптимизационной задачи. **Например:**"],"id":"98279679","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"6f3a700e"}},{"outputs":[],"cell_type":"code","source":["objective_value(optimization_problem)"],"id":"fb3dfd9b","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"021f66fd"},"execution_count":0},{"cell_type":"markdown","source":["Просмотреть оптимизированные значения переменных можно с помощью команды <code>value()</code>. В скобках указывается имя переменной. **Например:**"],"id":"d0d4f839","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"0c664008"}},{"outputs":[],"cell_type":"code","source":["value(opt_variable)"],"id":"3c816c4a","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"4f9d8b5b"},"execution_count":0},{"outputs":[],"cell_type":"code","source":["value(opt_variable_1)"],"id":"35b6be71","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"6ef88087"},"execution_count":0},{"cell_type":"markdown","source":["### ✏️Задание 6"],"id":"f766b240","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"ddf63721"}},{"cell_type":"markdown","source":["Решите оптимизационную задачу <code>opt_prob</code>. Просмотрите задачу с помощью <code>print()</code> и информацию о решениях с помощью <code>solution_summary()</code>. Просмотрите целевое значение задачи и оптимизированные значения обеих переменных <code>x</code> и <code>y</code>."],"id":"925cc16f","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"2839def5"}},{"outputs":[],"cell_type":"code","source":[""],"id":"24855ae4","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"dda709b3"},"execution_count":0},{"outputs":[],"cell_type":"code","source":[""],"id":"2cc0e863","metadata":{"name":"Название 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секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":6,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"1481cc87"}},{"outputs":[],"cell_type":"code","source":["optimize!(opt_prob)"],"id":"6d38cbbb","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"2250529c"},"execution_count":0},{"outputs":[],"cell_type":"code","source":["print(opt_prob)"],"id":"df5b8f49","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"c9b24ebd"},"execution_count":0},{"outputs":[],"cell_type":"code","source":["solution_summary(opt_prob)"],"id":"f4676ef8","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"519369a9"},"execution_count":0},{"outputs":[],"cell_type":"code","source":["objective_value(opt_prob)"],"id":"17066a3f","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"f3c00fe5"},"execution_count":0},{"outputs":[],"cell_type":"code","source":["value(x)"],"id":"cb4a6353","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"d5f32af7"},"execution_count":0},{"outputs":[],"cell_type":"code","source":["value(y)"],"id":"e7dec4b6","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"20f85c75"},"execution_count":0},{"cell_type":"markdown","source":["## Тест для получения сертификата"],"id":"e29fda63","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"16d0d89c"}},{"cell_type":"markdown","source":["Если вы впервые проходите тестирование на платформе **Этюд** по ссылке из **Engee**, то, нажав на ссылку ниже, вы увидите следующее диалоговое окно:\r\n\r\n![Предоставить доступ к платформе Этюд 3.png](attachment:Предоставить доступ к платформе Этюд 3.png)\r\n\r\nНажмите на кнопку \"Предоставить\", чтобы авторизоваться на платформе **Этюд** с данными вашего профиля Engee ID.\r\n\r\nЕсли вы раньше уже проходили тестирование по ссылке из **Engee**, то ваша авторизация выполнится автоматически и тестирование начнется сразу же после нажатия на ссылку.\r\n\r\n<noscript><div><img src=\"https://mc.yandex.ru/watch/97656070\" style=\"position:absolute; left:-9999px;\" alt=\"\" /></div></noscript>"],"id":"8ae7534c","attachments":{"Предоставить доступ к платформе Этюд 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"}},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"0469700d"}},{"cell_type":"markdown","source":["<p align=\"center\">\r\n<a style=\"padding: 8px 16px;\r\n    border: 3px blue;\r\n    border-radius: 15px;\r\n    color: white;\r\n    background-color: #1b83ba;\r\n    font-size: 24pt; \r\n    text-decoration: none;\" href=\"https://my.etude.org/link/6KXUTaY8By2xl5cq3Bo_J1UG4Pz00W0pPyfdI2WuSHwCmROR5vs90xyOD_oqRE3tzfvqyZZmkpJmtlR0exOWduAEGNLRqoOk-yvW0WHpEmkw8oVlmPmLLNAMv0LJvhpNPGqjzp_wlWhxI7Im-RLMHVHX7T50jda4xqKz0ZbN_D0=?engee\"\r\n     target=\"_blank\">Пройти тест по разделу >></a>\r\n</p>"],"id":"f276368d","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"73f18676"}}],"nbformat_minor":5,"metadata":{"engee":{},"language_info":{"file_extension":".jl","name":"julia","version":"1.9.3"},"kernelspec":{"name":"ijulia-1.9","display_name":"IJulia 1.9.3","language":"julia"}},"nbformat":4}
\ No newline at end of file
+{
+  "nbformat": 4,
+  "nbformat_minor": 5,
+  "metadata": {
+    "kernelspec": {
+      "name": "ijulia-1.9",
+      "display_name": "IJulia 1.9.3",
+      "language": "julia"
+    },
+    "language_info": {
+      "name": "julia",
+      "file_extension": ".jl",
+      "version": "1.9.3"
+    },
+    "engee": {}
+  },
+  "cells": [
+    {
+      "id": "53aa3dad",
+      "cell_type": "markdown",
+      "source": [
+        "# Основы оптимизации в Engee"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "9928c6a6",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "c6acee48",
+      "cell_type": "markdown",
+      "source": [
+        "В данном разделе используются функции из следующих библиотек языка **Julia**: <code>JuMP</code>, <code>GLPK</code>. Они предустановлены в **Engee**. Для их использования необходимо выполнить команду ниже:"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "3a706497",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "2032a6e8",
+      "cell_type": "code",
+      "source": [
+        "using JuMP, GLPK; "
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "a10a64b1",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "7fe6c94d",
+      "cell_type": "markdown",
+      "source": [
+        "`JuMP` (Julia for Mathematical Programming) – это библиотека с открытым исходным кодом, в которой реализован язык алгебраического моделирования, позволяющий пользователям формулировать широкий спектр задач оптимизации (линейные, нелинейные, с ограничениями и без ограничений). Сам язык моделирования не решает задач оптимизации, его цель\r\n– передать задачу в процедуру оптимизации (решатель или солвер). Подробную документацию можно найти на сайте https://jump.dev/.\r\n\r\nЗадачи, которые должен выполнять язык моделирования, можно\r\nусловно разделить на две части: \r\n1.   загрузить в память задачу, введенную пользователем;\r\n2.   сгенерировать входные данные, требуемые процедурой оптимизации в соответствии с типом задачи. \r\n\r\nОбе эти задачи решает библиотека `JuMP`, которая использует технику автоматического дифференцирования для вычисления производных выражений, введенных пользователем."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "469337bb",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "ff458fb1",
+      "cell_type": "markdown",
+      "source": [
+        "`GLPK` (GNU Linear Programming Kit library) – библиотека линейной оптимизации. Она предоставляет выбор большого числа решателей. Документацию по этой библиотеке можно найти на сайте http://www.gnu.org/software/glpk/."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "b6107c77",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "b3c5b940",
+      "cell_type": "markdown",
+      "source": [
+        "## 1. Создание оптимизационной задачи и переменных\r\n\r\n"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "333288cd",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "416ed921",
+      "cell_type": "markdown",
+      "source": [
+        "Создать оптимизационную задачу можно с помощью команды <code>Model()</code>. В скобках нужно указать название решателя, который будет использован для решения задачи, и сохранить команду в переменной.  \r\n**Например:**"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "c538cdca",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "df8f4f0a",
+      "cell_type": "code",
+      "source": [
+        "optimization_problem = Model(GLPK.Optimizer)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "ae17fc58",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "07418759",
+      "cell_type": "markdown",
+      "source": [
+        "Решатель можно также добавить позднее с помощью команды <code>set_optimizer()</code>. В скобках через запятую указывается имя оптимизационной задачи, которой присваивается переменная, и название решателя. **Например:**"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "f0b4885a",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "d925f1aa",
+      "cell_type": "code",
+      "source": [
+        "set_optimizer(optimization_problem, GLPK.Optimizer)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "7c74392f",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "2a7876be",
+      "cell_type": "markdown",
+      "source": [
+        "Для объявления переменной без присваивания ей числового значения в **Engee** используется команда <code>@variable()</code>. В скобках через запятую указывается имя оптимизационной задачи, которой присваивается переменная, и имя самой переменной.\r\n**Например:**"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "c8f66c7a",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "90385932",
+      "cell_type": "code",
+      "source": [
+        "@variable(optimization_problem, opt_variable);"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "15bc0931",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "899c0987",
+      "cell_type": "markdown",
+      "source": [
+        "Вы также можете задать границы возможных значений для вашей переменной. **Например:**"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "33f086db",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "3149ede7",
+      "cell_type": "code",
+      "source": [
+        "@variable(optimization_problem, opt_variable_1 >= 1);"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "e106b6a4",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "1e79d3f9",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 1"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "a218501d",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "45bf74a0",
+      "cell_type": "markdown",
+      "source": [
+        "Чтобы добавить свой код в сценарий, нужно щелкнуть по серому полю, предназначенному для ввода кода. Когда нужный код добавлен, вы можете запустить его и узнать результат, щелкнув по кнопке **Запуска** ![image.png](data:image/svg+xml;base64,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) слева от ячейки."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "2e206579",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "343b438e",
+      "cell_type": "markdown",
+      "source": [
+        "Создайте оптимизационную задачу, применив к ней линейный решатель <code>GLPK</code>, и сохраните ее в переменной <code>opt_prob</code>.      "
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "2b2cdf69",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "0f1cc152",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "e3a52de3",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "f0623764",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "ca478c67",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 1,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "bbc058a7",
+      "cell_type": "code",
+      "source": [
+        "opt_prob = Model(GLPK.Optimizer)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "db3e5543",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "a4ac4c36",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 2"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "67d9bbbf",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "91059fdb",
+      "cell_type": "markdown",
+      "source": [
+        "Создайте переменную <code>x</code> и присвойте ее вашей оптимизационной задаче <code>opt_prob</code>."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "72427e8b",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "afd3287b",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "b5915f14",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "3d56f964",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "29cc99eb",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 1,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "4b7da73e",
+      "cell_type": "code",
+      "source": [
+        "@variable(opt_prob, x);"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "5ff80e51",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "7cdbd2ac",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 3"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "f19c6030",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "80109f18",
+      "cell_type": "markdown",
+      "source": [
+        "Создайте переменную <code>y</code>, присвойте ее вашей оптимизационной задаче <code>opt_prob</code> и задайте границы: <code>y</code> больше или равно <code>1</code>, но меньше или равно <code>4</code>."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "b9f838b5",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "ea0ea730",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "3d586004",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "a6cbbe26",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "6c849aba",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 1,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "e27bbdeb",
+      "cell_type": "code",
+      "source": [
+        "@variable(opt_prob, 1 <= y <= 4)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "e9a4c030",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "f0098bb9",
+      "cell_type": "markdown",
+      "source": [
+        "## 2. Создание целевых функций"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "80c9076e",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "87e76786",
+      "cell_type": "markdown",
+      "source": [
+        "Целевая функция – это функция, подлежащая оптимизации для решения оптимизационной задачи."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "6cd03466",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "921b0e69",
+      "cell_type": "markdown",
+      "source": [
+        "В зависимости от того, является ли функция линейной или нелинейной, целевая функция задается двумя разными командами. Линейная целевая функция задается командой <code>@objective()</code>, а нелинейная целевая функция – командой <code>@NLobjective()</code>.\r\n"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "ea907a1e",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "439ef356",
+      "cell_type": "markdown",
+      "source": [
+        "В скобках через запятую указывается название оптимизационной задачи, <code>Min</code> для минимизации или <code>Max</code> для максимизации и математическое выражение. **Например:**"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "acfa1ef0",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "e735ea7f",
+      "cell_type": "code",
+      "source": [
+        "@objective(optimization_problem, Min, opt_variable + 3*opt_variable_1)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "1c7605ab",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "800e00d2",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 4"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "02bb5999",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "ab38894e",
+      "cell_type": "markdown",
+      "source": [
+        "Создайте линейную целевую функцию для оптимизационной задачи <code>opt_prob</code> с целью максимизировать выражение <code>y - x</code>."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "8d775b0e",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "9672b15d",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "f3359422",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "804e21d9",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "57961bea",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 1,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "08040e3a",
+      "cell_type": "code",
+      "source": [
+        "@objective(opt_prob, Max, y - x)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "c6c8b8c3",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "540b7427",
+      "cell_type": "markdown",
+      "source": [
+        "## 3. Создание условий оптимизации  "
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "8be97416",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "db72e04a",
+      "cell_type": "markdown",
+      "source": [
+        "Вы также можете задать условия, которые наложат ограничения на поиск оптимального решения задачи."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "5189d507",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "2b0287bc",
+      "cell_type": "markdown",
+      "source": [
+        "Так же, как и целевые функции, условия могут быть линейными и нелинейными. Линейные условия задаются командой <code>@constraint()</code>, а нелинейные – командой <code>@NLconstraint()</code>. "
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "22dcd68d",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "e56dd3dc",
+      "cell_type": "markdown",
+      "source": [
+        "В скобках через запятую указывается название оптимизационной задачи и математическое выражение для условия. **Например:**"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "3654ff30",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "bd35b6d5",
+      "cell_type": "code",
+      "source": [
+        "@constraint(optimization_problem, opt_variable + opt_variable_1 >= 6)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "e826aaf2",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "4bca0454",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 5 "
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "e7d21a3b",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "a22ac6c3",
+      "cell_type": "markdown",
+      "source": [
+        "Создайте линейное условие для оптимизационной задачи <code>opt_prob</code> где <code>x + y == 5</code>."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "11633804",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "e8182492",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "4ec35bec",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "627ee01c",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "a691eb98",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 1,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "233c43a6",
+      "cell_type": "code",
+      "source": [
+        "@constraint(opt_prob, x + y == 5)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "61c68b1e",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "c96b0117",
+      "cell_type": "markdown",
+      "source": [
+        "## 4. Решение оптимизационных задач"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "400641f2",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "2c2f5e42",
+      "cell_type": "markdown",
+      "source": [
+        "Решить оптимизационную задачу можно с помощью команды <code>optimize!()</code>. В скобках указывается название оптимизационной задачи. **Например:**"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "d795f80f",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "09ed84ff",
+      "cell_type": "code",
+      "source": [
+        "optimize!(optimization_problem)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "aef8e90d",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "f3f3d388",
+      "cell_type": "markdown",
+      "source": [
+        "Просмотреть оптимизационную задачу можно с помощью команды <code>print()</code>. В скобках указывается название оптимизационной задачи. **Например:**"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "024d5ec3",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "145a10d5",
+      "cell_type": "code",
+      "source": [
+        "print(optimization_problem)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "ab6f76d2",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "08bf341e",
+      "cell_type": "markdown",
+      "source": [
+        "Просмотреть информацию о решении задачи можно с помощью команды <code>solution_summary()</code>. В скобках указывается название оптимизационной задачи. Например:"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "c31dfa44",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "3892e462",
+      "cell_type": "code",
+      "source": [
+        "solution_summary(optimization_problem)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "c7682ddc",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "98279679",
+      "cell_type": "markdown",
+      "source": [
+        "Просмотреть целевое значение можно с помощью команды <code>objective_value()</code>. В скобках указывается название оптимизационной задачи. **Например:**"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "6f3a700e",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "fb3dfd9b",
+      "cell_type": "code",
+      "source": [
+        "objective_value(optimization_problem)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "021f66fd",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "d0d4f839",
+      "cell_type": "markdown",
+      "source": [
+        "Просмотреть оптимизированные значения переменных можно с помощью команды <code>value()</code>. В скобках указывается имя переменной. **Например:**"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "0c664008",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "3c816c4a",
+      "cell_type": "code",
+      "source": [
+        "value(opt_variable)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "4f9d8b5b",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "35b6be71",
+      "cell_type": "code",
+      "source": [
+        "value(opt_variable_1)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "6ef88087",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "f766b240",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 6"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "ddf63721",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "925cc16f",
+      "cell_type": "markdown",
+      "source": [
+        "Решите оптимизационную задачу <code>opt_prob</code>. Просмотрите задачу с помощью <code>print()</code> и информацию о решениях с помощью <code>solution_summary()</code>. Просмотрите целевое значение задачи и оптимизированные значения обеих переменных <code>x</code> и <code>y</code>."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "2839def5",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "24855ae4",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "dda709b3",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "2cc0e863",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "553a7fca",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "c4e689a4",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "085e78f7",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "188584a0",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "4c7fd0a6",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "aff23dbe",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "7337f512",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "a7cfeb98",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "35e71bbc",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "9e24f9b4",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "1481cc87",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 6,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "6d38cbbb",
+      "cell_type": "code",
+      "source": [
+        "optimize!(opt_prob)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "2250529c",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "df5b8f49",
+      "cell_type": "code",
+      "source": [
+        "print(opt_prob)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "c9b24ebd",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "f4676ef8",
+      "cell_type": "code",
+      "source": [
+        "solution_summary(opt_prob)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "519369a9",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "17066a3f",
+      "cell_type": "code",
+      "source": [
+        "objective_value(opt_prob)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "f3c00fe5",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "cb4a6353",
+      "cell_type": "code",
+      "source": [
+        "value(x)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "d5f32af7",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "e7dec4b6",
+      "cell_type": "code",
+      "source": [
+        "value(y)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "20f85c75",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "e29fda63",
+      "cell_type": "markdown",
+      "source": [
+        "## Тест для получения сертификата"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "16d0d89c",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "8ae7534c",
+      "cell_type": "markdown",
+      "source": [
+        "Если вы впервые проходите тестирование на платформе **Этюд** по ссылке из **Engee**, то, нажав на ссылку ниже, вы увидите следующее диалоговое окно:\r\n\r\n![Предоставить доступ к платформе Этюд 3.png](attachment:Предоставить доступ к платформе Этюд 3.png)\r\n\r\nНажмите на кнопку \"Предоставить\", чтобы авторизоваться на платформе **Этюд** с данными вашего профиля Engee ID.\r\n\r\nЕсли вы раньше уже проходили тестирование по ссылке из **Engee**, то ваша авторизация выполнится автоматически и тестирование начнется сразу же после нажатия на ссылку.\r\n\r\n<noscript><div><img src=\"https://mc.yandex.ru/watch/97656070\" style=\"position:absolute; left:-9999px;\" alt=\"\" /></div></noscript>"
+      ],
+      "attachments": {
+        "Предоставить доступ к платформе Этюд 3.png": {
+          "image/png": 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"
+        }
+      },
+      "metadata": {
+        "id": "0469700d",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "f276368d",
+      "cell_type": "markdown",
+      "source": [
+        "<p align=\"center\">\r\n<a style=\"padding: 8px 16px;\r\n    border: 3px blue;\r\n    border-radius: 15px;\r\n    color: white;\r\n    background-color: #1b83ba;\r\n    font-size: 24pt; \r\n    text-decoration: none;\" href=\"https://my.etude.org/link/6KXUTaY8By2xl5cq3Bo_J1UG4Pz00W0pPyfdI2WuSHwCmROR5vs90xyOD_oqRE3tzfvqyZZmkpJmtlR0exOWduAEGNLRqoOk-yvW0WHpEmkw8oVlmPmLLNAMv0LJvhpNPGqjzp_wlWhxI7Im-RLMHVHX7T50jda4xqKz0ZbN_D0=?engee\"\r\n     target=\"_blank\">Пройти тест по разделу >></a>\r\n</p>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "73f18676",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    }
+  ]
+}
\ No newline at end of file
diff --git "a/02. \320\221\320\265\320\267\321\203\321\201\320\273\320\276\320\262\320\275\320\260\321\217 \320\276\320\277\321\202\320\270\320\274\320\270\320\267\320\260\321\206\320\270\321\217.ngscript" "b/02. \320\221\320\265\320\267\321\203\321\201\320\273\320\276\320\262\320\275\320\260\321\217 \320\276\320\277\321\202\320\270\320\274\320\270\320\267\320\260\321\206\320\270\321\217.ngscript"
index b7e3efe6c2781b7bfa498f214ea445ac21ed2bcc..6a144ecc5b416452efd8776565d5e11ea6823dac 100644
--- "a/02. \320\221\320\265\320\267\321\203\321\201\320\273\320\276\320\262\320\275\320\260\321\217 \320\276\320\277\321\202\320\270\320\274\320\270\320\267\320\260\321\206\320\270\321\217.ngscript"	
+++ "b/02. \320\221\320\265\320\267\321\203\321\201\320\273\320\276\320\262\320\275\320\260\321\217 \320\276\320\277\321\202\320\270\320\274\320\270\320\267\320\260\321\206\320\270\321\217.ngscript"	
@@ -1 +1,1479 @@
-{"cells":[{"cell_type":"markdown","source":["# Безусловная оптимизация"],"id":"52ed6e94","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"6c595fa8"}},{"cell_type":"markdown","source":["Задачи безусловной оптимизации состоят в поиске максимума или минимума заданной функции при отсутствии каких-либо ограничений."],"id":"aa53fb8e","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"d31a6e29"}},{"cell_type":"markdown","source":["В этом разделе мы рассмотрим логистическую задачу нелинейной безусловной оптимизации по поиску оптимальной локации складского помещения.\r\n\r\nВ целях сокращения логистических расходов складское помещение должно быть размещено на оптимальном удалении от четырех предприятий, поставки на которые осуществляются с этого склада.\r\n"],"id":"1873d311","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"c2f2690b"}},{"cell_type":"markdown","source":["## 1. Создание нелинейной оптимизационной задачи\r\n"],"id":"d630cd6e","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"4a06ae09"}},{"cell_type":"markdown","source":["Нелинейная оптимизационная задача подразумевает наличие нелинейной целевой функции или нелинейных условий, наложенных на поиск оптимального решения, или обоих факторов одновременно.\r\n"],"id":"5eb103a7","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"752b9738"}},{"cell_type":"markdown","source":["Создание нелинейной оптимизационной задачи отличается от создания линейной оптимизационной задачи применением нелинейного решателя. "],"id":"f5753014","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"1e0cc5f0"}},{"cell_type":"markdown","source":["Для решения данной задачи мы используем оптимизационную библиотеку <code>JuMP</code> и нелинейный решатель <code>Ipopt</code>. Для их использования необходимо выполнить команду ниже:"],"id":"8c5de96d","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"6700a3d8"}},{"outputs":[],"cell_type":"code","source":["Pkg.add([\"Ipopt\", \"JuMP\"])"],"id":"bz1cozqy","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"x7eulezs"},"execution_count":0},{"outputs":[],"cell_type":"code","source":["using JuMP, Ipopt;"],"id":"80835aa9","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"4902a715"},"execution_count":0},{"cell_type":"markdown","source":["`Ipopt` (Interior Point OPTimizer) – библиотека для нелинейной оптимизации задач большой размерности. Подробную документацию по этой библиотеке можно найти на сайте https://github.com/coin-or/Ipopt."],"id":"56383d41","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"e5061cc3"}},{"cell_type":"markdown","source":["С помощью библиотеки `Ipopt` оптимизационные задачи решаются **методом внутренней точки** (**interior-point method**), который позволяет решать выпуклые задачи оптимизации с условиями, заданными в виде неравенств. В этом методе исходную для поиска точку можно выбирать только внутри допустимой области."],"id":"c8c84ee4","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"4426be34"}},{"cell_type":"markdown","source":["### ✏️Задание 1"],"id":"2a1998ab","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"0d7b5e78"}},{"cell_type":"markdown","source":["Создайте оптимизационную задачу, применив к ней нелинейный решатель <code>Ipopt</code>, и сохраните ее в переменной <code>NL_prob</code>.      "],"id":"59716d21","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"14238997"}},{"outputs":[],"cell_type":"code","source":[""],"id":"ef36878f","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"1cf75a84"},"execution_count":0},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"294e74e7","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":1,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"96e9e921"}},{"outputs":[],"cell_type":"code","source":["NL_prob = Model(Ipopt.Optimizer)"],"id":"4ffb1a5c","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"7f74f9ba"},"execution_count":0},{"cell_type":"markdown","source":["### ✏️Задание 2"],"id":"8cc76435","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"8c47cc8b"}},{"cell_type":"markdown","source":["Создайте переменные <code>x</code> и <code>y</code>, определяющие позицию склада в двумерном пространстве, и присвойте их вашей оптимизационной задаче. Для текущей задачи через запятую необходимо указать, что значение переменных не может быть меньше нуля. "],"id":"87a0fedf","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"eadcf20f"}},{"outputs":[],"cell_type":"code","source":["\r\n"],"id":"4b9b97df","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"101ef27f"},"execution_count":0},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"b45683ec","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":1,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"d1e5f215"}},{"outputs":[],"cell_type":"code","source":["@variable(NL_prob, x >= 0);\r\n@variable(NL_prob, y >= 0);"],"id":"674f5d52","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"fd6e9951"},"execution_count":0},{"cell_type":"markdown","source":["## 2. Ввод координат предприятий"],"id":"eb101720","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"82018874"}},{"cell_type":"markdown","source":["Склад обслуживает 4 предприятия, имеющие разные координаты. Координаты можно ввести в виде соответствующих четырехэлементных векторов <code>X</code> и <code>Y</code>. Координаты следует перевести в тип float для осуществления последующих расчетов. Это можно сделать, добавив <code>.</code> после каждого значения.\r\n\r\nВыполните команду ниже для ввода координат предприятий:\r\n"],"id":"29dfd85f","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"212d9f14"}},{"outputs":[],"cell_type":"code","source":["X = [23., 34., 45., 72.];\r\nY = [11., 61., 19., 38.];"],"id":"7bc9aee8","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"1f6c6a76"},"execution_count":0},{"cell_type":"markdown","source":["## 3. Ввод начальных координат склада"],"id":"44d510c2","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"d2e1dbe4"}},{"cell_type":"markdown","source":["В некоторых случаях для решения оптимизационных задач оптимизируемым переменным необходимо задать начальные значения. В данном случае вы можете присвоить переменным <code>x</code> и <code>y</code> произвольные значения. Начальные значения не повлияют на конечный результат.\r\nВыполните команду ниже для ввода начальных координат оптимизируемых переменных <code>x</code> и <code>y</code>:"],"id":"b32d7d6a","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"535ba4e8"}},{"outputs":[],"cell_type":"code","source":["set_start_value(x, 1) \r\nset_start_value(y, 1)"],"id":"13f424c7","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"71164ee1"},"execution_count":0},{"cell_type":"markdown","source":["## 4. Создание нелинейной целевой функции"],"id":"ec828a72","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"63947945"}},{"cell_type":"markdown","source":["Для создания нелинейной целевой функции необходимо использовать команду <code>@NLobjective()</code>. В скобках через запятую указывается имя оптимизационной задачи, которой присваивается целевая функция, *Min* или *Max* для нахождения минимального или максимального значения и математическое выражение целевой функции."],"id":"1ef882cb","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"05bdf3e2"}},{"cell_type":"markdown","source":["Расчет расстояния между складом и отдельно взятым предприятием осуществляется с помощью теоремы Пифагора по разнице координат точек:\r\n$$R=\\sqrt{(x - X)^2 + (y - Y)^2}$$\r\nДля расчета расстояния между складом и всеми предприятиями необходимо повторить операцию с координатами всех предприятий и суммировать результат:\r\n$$R_{total}=\\sum_{i=1}^{4}\\sqrt{(x - X_i)^2 + (y - Y_i)^2}$$\r\nЦелевым значением нашей задачи являются двумерные координаты оптимальной локации склада, при которых сумма расстояний от склада до всех предприятий ($R_{total}$) принимает минимальное значение."],"id":"7abaaf90","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"2f9777a2"}},{"cell_type":"markdown","source":["### ✏️Задание 3"],"id":"9c5ab2de","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"fa6ddd96"}},{"cell_type":"markdown","source":["С помощью команды <code>@NLobjective()</code> создайте целевую функцию, содержащую описанное выше выражение для расчета суммы расстояний от склада до всех предприятий $R_{total}$. Присвойте функцию оптимизационной задаче <code>NL_prob</code>.\r\n\r\n"],"id":"a376c625","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"086d8815"}},{"outputs":[],"cell_type":"code","source":[""],"id":"0f0d505a","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"1412b5a5"},"execution_count":0},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Подсказка</span>"],"id":"20a668d2","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":3,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"d6e808da"}},{"cell_type":"markdown","source":["Для суммирования расстояний между складом и всеми четырьмя предприятиями необходимо повторить операцию 4 раза. Этого можно достичь, задав цикл `for i = 1:4` внутри скобок команды sum()."],"id":"6f0b9f0a","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"003fff11"}},{"cell_type":"markdown","source":["##### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"104cad66","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":1,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":false},"id":"ab082e32"}},{"outputs":[],"cell_type":"code","source":["@NLobjective(NL_prob, Min, sum(sqrt((x - X[i])^2 + (y - Y[i])^2) for i = 1:4))"],"id":"b7d059c4","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"57092da6"},"execution_count":0},{"cell_type":"markdown","source":["## 5. Решение нелинейной оптимизационной задачи"],"id":"24edf7f7","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"9d4064ab"}},{"cell_type":"markdown","source":["### ✏️Задание 4"],"id":"d22934bd","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"1e0a0be2"}},{"cell_type":"markdown","source":["Используйте команды <code>optimize!()</code>, <code>print()</code> и <code>objective_value()</code> для решения, вывода результата и целевого значения оптимизационной задачи <code>NL_prob</code>."],"id":"e21bc912","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"ef06f49a"}},{"outputs":[],"cell_type":"code","source":[""],"id":"52faf2f6","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"e3dbc3a3"},"execution_count":0},{"outputs":[],"cell_type":"code","source":[""],"id":"54f42294","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"9556f132"},"execution_count":0},{"outputs":[],"cell_type":"code","source":[""],"id":"1ac00d16","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"6f4f2567"},"execution_count":0},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"1268ba17","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":3,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"be1b7ddf"}},{"outputs":[],"cell_type":"code","source":["optimize!(NL_prob)"],"id":"8f6fda72","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"990a8a22"},"execution_count":0},{"outputs":[],"cell_type":"code","source":["print(NL_prob)"],"id":"7d64fe2a","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"dbbc3006"},"execution_count":0},{"outputs":[],"cell_type":"code","source":["objective_value(NL_prob)"],"id":"c02dabdb","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"96ea9244"},"execution_count":0},{"cell_type":"markdown","source":["### ✏️Задание 5"],"id":"eeba3342","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"2d36e2fb"}},{"cell_type":"markdown","source":["Используйте команду <code>value()</code> с аргументами <code>x</code> и <code>y</code> для получения координат оптимального расположения склада. Сохраните новые значения в переменных <code>x_opt</code> и <code>y_opt</code>."],"id":"06ba6f9d","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"d6cfa6a2"}},{"outputs":[],"cell_type":"code","source":[""],"id":"077097bb","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"cdcffbd3"},"execution_count":0},{"outputs":[],"cell_type":"code","source":[""],"id":"6724edea","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"cddd3ac4"},"execution_count":0},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"96d52793","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":2,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"64902bd3"}},{"outputs":[],"cell_type":"code","source":["x_opt = value(x)"],"id":"11b51429","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"7191c383"},"execution_count":0},{"outputs":[],"cell_type":"code","source":["y_opt = value(y)"],"id":"70873b7b","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"7b549ba3"},"execution_count":0},{"cell_type":"markdown","source":["## 6. Визуализация результатов"],"id":"98de71b5","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"9464917b"}},{"cell_type":"markdown","source":["Для визуализации результатов на графике мы используем библиотеку <code>Plots</code>. Для ее использования необходимо выполнить команду ниже:"],"id":"3f83b3e0","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"465f7c77"}},{"outputs":[],"cell_type":"code","source":["using Plots;"],"id":"f12958cb","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"fae77303"},"execution_count":0},{"cell_type":"markdown","source":["Задайте параметры графиков, запустив команду ниже:"],"id":"957a5146","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"f2a04fd9"}},{"outputs":[],"cell_type":"code","source":["gr(size=(1700, 700), legend=false, grid=true, widen=1.5, ticks = 20)"],"id":"420914b7","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"ebedc4d8"},"execution_count":0},{"cell_type":"markdown","source":["Отобразите позиции предприятий на графике. Внутри команды <code>plot</code> вы можете задать дополнительные параметры визуализации, такие как форма, цвет и размер маркера."],"id":"85c84f64","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"9a0d5e87"}},{"outputs":[],"cell_type":"code","source":["Plots.plot(X, Y, seriestype=:scatter,markershape=:hexagon, color = :orange, markersize = 5, markerstrokewidth=1, aspect_ratio = :equal)"],"id":"4c0406c7","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"613fa40d"},"execution_count":0},{"cell_type":"markdown","source":["Отобразите оптимальную позицию склада на том же графике. Для этого используйте <code>!</code> после команды <code>plot</code>. Вы можете изменить параметры визуализации внутри команды <code>plot</code> для наглядности. "],"id":"22e12fe4","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"62d5f722"}},{"cell_type":"markdown","source":["Обратите внимание, что получив координаты <code>x_opt</code> и <code>y_opt</code> с помощью команды <code>value()</code>, мы изменили тип переменной и нам нужно заключить их в <code>[]</code> для передачи в команду <code>plot()</code>."],"id":"a81230a4","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"8d89cb1b"}},{"outputs":[],"cell_type":"code","source":["plot!([x_opt], [y_opt], seriestype=:scatter,markershape=:diamond, color = :green, markersize = 5, markerstrokewidth=1)"],"id":"648dca0f","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"637b1ce9"},"execution_count":0},{"cell_type":"markdown","source":["Вы также можете вывести дополнительные пояснения на график."],"id":"d2a5d4b0","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"6b8e1ce2"}},{"outputs":[],"cell_type":"code","source":["ptstr = string([x_opt y_opt])\r\nxvalstr = string(\"   Оптимальная локация\")\r\nannotate!(([x_opt y_opt]...,text(xvalstr, 13, :left, :black)))"],"id":"9db76245","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"623c3280"},"execution_count":0},{"cell_type":"markdown","source":["## Тест для получения сертификата\r\n<noscript><div><img src=\"https://mc.yandex.ru/watch/97656070\" style=\"position:absolute; left:-9999px;\" alt=\"\" /></div></noscript>"],"id":"d113f3b7","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"6b91badb"}},{"cell_type":"markdown","source":["<p align=\"center\">\r\n<a style=\"padding: 8px 16px;\r\n    border: 3px blue;\r\n    border-radius: 15px;\r\n    color: white;\r\n    background-color: #1b83ba;\r\n    font-size: 24pt; \r\n    text-decoration: none;\" href=\"https://my.etude.org/link/qTMxZZhZhgSdUgxIqPY8V2Oj4RAHdadM5e-pcBhquB_Ab8GSxprZF5BZ589szp7ThZC69v73VNrp0NGZae7smAEnN1gEBEG76U4mGRUvNpAJT0R5vdvatggpM9fTCD6MPVDmc9O3dZ3ScBi8hzWrAY-85OuyIn2jxwOUbRLl8FE=?engee\"\r\n     target=\"_blank\">Пройти тест по разделу >></a>\r\n</p>"],"id":"f276368d","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"c80dd9a9"}}],"nbformat_minor":5,"metadata":{"engee":{},"language_info":{"file_extension":".jl","name":"julia","version":"1.9.3"},"kernelspec":{"name":"ijulia-1.9","display_name":"IJulia 1.9.3","language":"julia"}},"nbformat":4}
\ No newline at end of file
+{
+  "nbformat": 4,
+  "nbformat_minor": 5,
+  "metadata": {
+    "kernelspec": {
+      "name": "ijulia-1.9",
+      "display_name": "IJulia 1.9.3",
+      "language": "julia"
+    },
+    "language_info": {
+      "name": "julia",
+      "file_extension": ".jl",
+      "version": "1.9.3"
+    },
+    "engee": {}
+  },
+  "cells": [
+    {
+      "id": "52ed6e94",
+      "cell_type": "markdown",
+      "source": [
+        "# Безусловная оптимизация"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "6c595fa8",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "aa53fb8e",
+      "cell_type": "markdown",
+      "source": [
+        "Задачи безусловной оптимизации состоят в поиске максимума или минимума заданной функции при отсутствии каких-либо ограничений."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "d31a6e29",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "1873d311",
+      "cell_type": "markdown",
+      "source": [
+        "В этом разделе мы рассмотрим логистическую задачу нелинейной безусловной оптимизации по поиску оптимальной локации складского помещения.\r\n\r\nВ целях сокращения логистических расходов складское помещение должно быть размещено на оптимальном удалении от четырех предприятий, поставки на которые осуществляются с этого склада.\r\n"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "c2f2690b",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "d630cd6e",
+      "cell_type": "markdown",
+      "source": [
+        "## 1. Создание нелинейной оптимизационной задачи\r\n"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "4a06ae09",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "5eb103a7",
+      "cell_type": "markdown",
+      "source": [
+        "Нелинейная оптимизационная задача подразумевает наличие нелинейной целевой функции или нелинейных условий, наложенных на поиск оптимального решения, или обоих факторов одновременно.\r\n"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "752b9738",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "f5753014",
+      "cell_type": "markdown",
+      "source": [
+        "Создание нелинейной оптимизационной задачи отличается от создания линейной оптимизационной задачи применением нелинейного решателя. "
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "1e0cc5f0",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "8c5de96d",
+      "cell_type": "markdown",
+      "source": [
+        "Для решения данной задачи мы используем оптимизационную библиотеку <code>JuMP</code> и нелинейный решатель <code>Ipopt</code>. Для их использования необходимо выполнить команду ниже:"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "6700a3d8",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "80835aa9",
+      "cell_type": "code",
+      "source": [
+        "using JuMP, Ipopt;"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "4902a715",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "56383d41",
+      "cell_type": "markdown",
+      "source": [
+        "`Ipopt` (Interior Point OPTimizer) – библиотека для нелинейной оптимизации задач большой размерности. Подробную документацию по этой библиотеке можно найти на сайте https://github.com/coin-or/Ipopt."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "e5061cc3",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "c8c84ee4",
+      "cell_type": "markdown",
+      "source": [
+        "С помощью библиотеки `Ipopt` оптимизационные задачи решаются **методом внутренней точки** (**interior-point method**), который позволяет решать выпуклые задачи оптимизации с условиями, заданными в виде неравенств. В этом методе исходную для поиска точку можно выбирать только внутри допустимой области."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "4426be34",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "2a1998ab",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 1"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "0d7b5e78",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "59716d21",
+      "cell_type": "markdown",
+      "source": [
+        "Создайте оптимизационную задачу, применив к ней нелинейный решатель <code>Ipopt</code>, и сохраните ее в переменной <code>NL_prob</code>.      "
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "14238997",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "ef36878f",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "1cf75a84",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "294e74e7",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "96e9e921",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 1,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "4ffb1a5c",
+      "cell_type": "code",
+      "source": [
+        "NL_prob = Model(Ipopt.Optimizer)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "7f74f9ba",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "8cc76435",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 2"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "8c47cc8b",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "87a0fedf",
+      "cell_type": "markdown",
+      "source": [
+        "Создайте переменные <code>x</code> и <code>y</code>, определяющие позицию склада в двумерном пространстве, и присвойте их вашей оптимизационной задаче. Для текущей задачи через запятую необходимо указать, что значение переменных не может быть меньше нуля. "
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "eadcf20f",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "4b9b97df",
+      "cell_type": "code",
+      "source": [
+        "\r\n"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "101ef27f",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "b45683ec",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "d1e5f215",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 1,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "674f5d52",
+      "cell_type": "code",
+      "source": [
+        "@variable(NL_prob, x >= 0);\r\n@variable(NL_prob, y >= 0);"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "fd6e9951",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "eb101720",
+      "cell_type": "markdown",
+      "source": [
+        "## 2. Ввод координат предприятий"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "82018874",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "29dfd85f",
+      "cell_type": "markdown",
+      "source": [
+        "Склад обслуживает 4 предприятия, имеющие разные координаты. Координаты можно ввести в виде соответствующих четырехэлементных векторов <code>X</code> и <code>Y</code>. Координаты следует перевести в тип float для осуществления последующих расчетов. Это можно сделать, добавив <code>.</code> после каждого значения.\r\n\r\nВыполните команду ниже для ввода координат предприятий:\r\n"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "212d9f14",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "7bc9aee8",
+      "cell_type": "code",
+      "source": [
+        "X = [23., 34., 45., 72.];\r\nY = [11., 61., 19., 38.];"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "1f6c6a76",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "44d510c2",
+      "cell_type": "markdown",
+      "source": [
+        "## 3. Ввод начальных координат склада"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "d2e1dbe4",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "b32d7d6a",
+      "cell_type": "markdown",
+      "source": [
+        "В некоторых случаях для решения оптимизационных задач оптимизируемым переменным необходимо задать начальные значения. В данном случае вы можете присвоить переменным <code>x</code> и <code>y</code> произвольные значения. Начальные значения не повлияют на конечный результат.\r\nВыполните команду ниже для ввода начальных координат оптимизируемых переменных <code>x</code> и <code>y</code>:"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "535ba4e8",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "13f424c7",
+      "cell_type": "code",
+      "source": [
+        "set_start_value(x, 1) \r\nset_start_value(y, 1)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "71164ee1",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "ec828a72",
+      "cell_type": "markdown",
+      "source": [
+        "## 4. Создание нелинейной целевой функции"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "63947945",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "1ef882cb",
+      "cell_type": "markdown",
+      "source": [
+        "Для создания нелинейной целевой функции необходимо использовать команду <code>@NLobjective()</code>. В скобках через запятую указывается имя оптимизационной задачи, которой присваивается целевая функция, *Min* или *Max* для нахождения минимального или максимального значения и математическое выражение целевой функции."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "05bdf3e2",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "7abaaf90",
+      "cell_type": "markdown",
+      "source": [
+        "Расчет расстояния между складом и отдельно взятым предприятием осуществляется с помощью теоремы Пифагора по разнице координат точек:\r\n$$R=\\sqrt{(x - X)^2 + (y - Y)^2}$$\r\nДля расчета расстояния между складом и всеми предприятиями необходимо повторить операцию с координатами всех предприятий и суммировать результат:\r\n$$R_{total}=\\sum_{i=1}^{4}\\sqrt{(x - X_i)^2 + (y - Y_i)^2}$$\r\nЦелевым значением нашей задачи являются двумерные координаты оптимальной локации склада, при которых сумма расстояний от склада до всех предприятий ($R_{total}$) принимает минимальное значение."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "2f9777a2",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "9c5ab2de",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 3"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "fa6ddd96",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "a376c625",
+      "cell_type": "markdown",
+      "source": [
+        "С помощью команды <code>@NLobjective()</code> создайте целевую функцию, содержащую описанное выше выражение для расчета суммы расстояний от склада до всех предприятий $R_{total}$. Присвойте функцию оптимизационной задаче <code>NL_prob</code>.\r\n\r\n"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "086d8815",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "0f0d505a",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "1412b5a5",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "20a668d2",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Подсказка</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "d6e808da",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 3,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "6f0b9f0a",
+      "cell_type": "markdown",
+      "source": [
+        "Для суммирования расстояний между складом и всеми четырьмя предприятиями необходимо повторить операцию 4 раза. Этого можно достичь, задав цикл `for i = 1:4` внутри скобок команды sum()."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "003fff11",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "104cad66",
+      "cell_type": "markdown",
+      "source": [
+        "##### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "ab082e32",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 1,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "b7d059c4",
+      "cell_type": "code",
+      "source": [
+        "@NLobjective(NL_prob, Min, sum(sqrt((x - X[i])^2 + (y - Y[i])^2) for i = 1:4))"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "57092da6",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "24edf7f7",
+      "cell_type": "markdown",
+      "source": [
+        "## 5. Решение нелинейной оптимизационной задачи"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "9d4064ab",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "d22934bd",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 4"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "1e0a0be2",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "e21bc912",
+      "cell_type": "markdown",
+      "source": [
+        "Используйте команды <code>optimize!()</code>, <code>print()</code> и <code>objective_value()</code> для решения, вывода результата и целевого значения оптимизационной задачи <code>NL_prob</code>."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "ef06f49a",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "52faf2f6",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "e3dbc3a3",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "54f42294",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "9556f132",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "1ac00d16",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "6f4f2567",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "1268ba17",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "be1b7ddf",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 3,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "8f6fda72",
+      "cell_type": "code",
+      "source": [
+        "optimize!(NL_prob)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "990a8a22",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "7d64fe2a",
+      "cell_type": "code",
+      "source": [
+        "print(NL_prob)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "dbbc3006",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "c02dabdb",
+      "cell_type": "code",
+      "source": [
+        "objective_value(NL_prob)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "96ea9244",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "eeba3342",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 5"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "2d36e2fb",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "06ba6f9d",
+      "cell_type": "markdown",
+      "source": [
+        "Используйте команду <code>value()</code> с аргументами <code>x</code> и <code>y</code> для получения координат оптимального расположения склада. Сохраните новые значения в переменных <code>x_opt</code> и <code>y_opt</code>."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "d6cfa6a2",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "077097bb",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "cdcffbd3",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "6724edea",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "cddd3ac4",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "96d52793",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "64902bd3",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 2,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "11b51429",
+      "cell_type": "code",
+      "source": [
+        "x_opt = value(x)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "7191c383",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "70873b7b",
+      "cell_type": "code",
+      "source": [
+        "y_opt = value(y)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "7b549ba3",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "98de71b5",
+      "cell_type": "markdown",
+      "source": [
+        "## 6. Визуализация результатов"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "9464917b",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "3f83b3e0",
+      "cell_type": "markdown",
+      "source": [
+        "Для визуализации результатов на графике мы используем библиотеку <code>Plots</code>. Для ее использования необходимо выполнить команду ниже:"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "465f7c77",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "f12958cb",
+      "cell_type": "code",
+      "source": [
+        "using Plots;"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "fae77303",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "957a5146",
+      "cell_type": "markdown",
+      "source": [
+        "Задайте параметры графиков, запустив команду ниже:"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "f2a04fd9",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "420914b7",
+      "cell_type": "code",
+      "source": [
+        "gr(size=(1700, 700), legend=false, grid=true, widen=1.5, ticks = 20)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "ebedc4d8",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "85c84f64",
+      "cell_type": "markdown",
+      "source": [
+        "Отобразите позиции предприятий на графике. Внутри команды <code>plot</code> вы можете задать дополнительные параметры визуализации, такие как форма, цвет и размер маркера."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "9a0d5e87",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "4c0406c7",
+      "cell_type": "code",
+      "source": [
+        "Plots.plot(X, Y, seriestype=:scatter,markershape=:hexagon, color = :orange, markersize = 5, markerstrokewidth=1, aspect_ratio = :equal)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "613fa40d",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "22e12fe4",
+      "cell_type": "markdown",
+      "source": [
+        "Отобразите оптимальную позицию склада на том же графике. Для этого используйте <code>!</code> после команды <code>plot</code>. Вы можете изменить параметры визуализации внутри команды <code>plot</code> для наглядности. "
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "62d5f722",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "a81230a4",
+      "cell_type": "markdown",
+      "source": [
+        "Обратите внимание, что получив координаты <code>x_opt</code> и <code>y_opt</code> с помощью команды <code>value()</code>, мы изменили тип переменной и нам нужно заключить их в <code>[]</code> для передачи в команду <code>plot()</code>."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "8d89cb1b",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "648dca0f",
+      "cell_type": "code",
+      "source": [
+        "plot!([x_opt], [y_opt], seriestype=:scatter,markershape=:diamond, color = :green, markersize = 5, markerstrokewidth=1)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "637b1ce9",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "d2a5d4b0",
+      "cell_type": "markdown",
+      "source": [
+        "Вы также можете вывести дополнительные пояснения на график."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "6b8e1ce2",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "9db76245",
+      "cell_type": "code",
+      "source": [
+        "ptstr = string([x_opt y_opt])\r\nxvalstr = string(\"   Оптимальная локация\")\r\nannotate!(([x_opt y_opt]...,text(xvalstr, 13, :left, :black)))"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "623c3280",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "d113f3b7",
+      "cell_type": "markdown",
+      "source": [
+        "## Тест для получения сертификата\r\n<noscript><div><img src=\"https://mc.yandex.ru/watch/97656070\" style=\"position:absolute; left:-9999px;\" alt=\"\" /></div></noscript>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "6b91badb",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "f276368d",
+      "cell_type": "markdown",
+      "source": [
+        "<p align=\"center\">\r\n<a style=\"padding: 8px 16px;\r\n    border: 3px blue;\r\n    border-radius: 15px;\r\n    color: white;\r\n    background-color: #1b83ba;\r\n    font-size: 24pt; \r\n    text-decoration: none;\" href=\"https://my.etude.org/link/qTMxZZhZhgSdUgxIqPY8V2Oj4RAHdadM5e-pcBhquB_Ab8GSxprZF5BZ589szp7ThZC69v73VNrp0NGZae7smAEnN1gEBEG76U4mGRUvNpAJT0R5vdvatggpM9fTCD6MPVDmc9O3dZ3ScBi8hzWrAY-85OuyIn2jxwOUbRLl8FE=?engee\"\r\n     target=\"_blank\">Пройти тест по разделу >></a>\r\n</p>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "c80dd9a9",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    }
+  ]
+}
\ No newline at end of file
diff --git "a/03. \320\243\321\201\320\273\320\276\320\262\320\275\320\260\321\217 \320\276\320\277\321\202\320\270\320\274\320\270\320\267\320\260\321\206\320\270\321\217.ngscript" "b/03. \320\243\321\201\320\273\320\276\320\262\320\275\320\260\321\217 \320\276\320\277\321\202\320\270\320\274\320\270\320\267\320\260\321\206\320\270\321\217.ngscript"
index d7d0c6f92cf9a87e95ceb3c9718e053f0f8cad1a..c3d394501fabd49f766bca760d2b50fd06764a40 100644
--- "a/03. \320\243\321\201\320\273\320\276\320\262\320\275\320\260\321\217 \320\276\320\277\321\202\320\270\320\274\320\270\320\267\320\260\321\206\320\270\321\217.ngscript"	
+++ "b/03. \320\243\321\201\320\273\320\276\320\262\320\275\320\260\321\217 \320\276\320\277\321\202\320\270\320\274\320\270\320\267\320\260\321\206\320\270\321\217.ngscript"	
@@ -1 +1,4564 @@
-{"cells":[{"cell_type":"markdown","source":["# Условная оптимизация"],"id":"d29c980e","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"f6f4c649"}},{"cell_type":"markdown","source":["Задачи условной оптимизации состоят в поиске максимума или минимума заданной функции при наличии определенных условий, накладывающих ряд ограничений на возможные решения задачи."],"id":"c74dab53","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"f609a092"}},{"cell_type":"markdown","source":["В этом разделе мы рассмотрим задачу условной оптимизации по подбору оптимального рациона питания."],"id":"199fdbcd","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"745473af"}},{"cell_type":"markdown","source":["## 1. Создание условной оптимизационной задачи"],"id":"cd2caff4","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"4ff05e94"}},{"cell_type":"markdown","source":["Для решения данной задачи мы используем оптимизационную библиотеку <code>JuMP</code> и линейный решатель <code>GLPK</code>. Нам также понадобятся библиотеки <code>XLSX</code> и <code>DataFrames</code> для работы с табличными данными и библиотека <code>Plots</code> для визуализации результатов. Для их использования необходимо выполнить команду ниже:"],"id":"4aa7afb2","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"4832462a"}},{"outputs":[],"cell_type":"code","source":["Pkg.add([\"GLPK\", \"XLSX\", \"JuMP\"])"],"id":"evnnyn7f","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"cfzgrthf"},"execution_count":0},{"outputs":[],"cell_type":"code","source":["using JuMP, GLPK, XLSX, DataFrames, Plots;"],"id":"c1473b7b","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"c77ccfb2"},"execution_count":0},{"cell_type":"markdown","source":["Загрузите таблицу с данными, выполнив команду ниже: "],"id":"b9065907","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"7b427f99"}},{"outputs":[],"cell_type":"code","source":["Nutrition = DataFrame(XLSX.readtable(\"nutrition.xlsx\", \"Sheet1\"))"],"id":"dabc599f","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"b8f239a1"},"execution_count":0},{"cell_type":"markdown","source":["Таблица содержит информацию о содержании питательных веществ в двадцати различных продуктах, а также их условную цену."],"id":"c40a5580","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"6e271c0f"}},{"cell_type":"markdown","source":["### ✏️Задание 1"],"id":"b902071e","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"e6c34755"}},{"cell_type":"markdown","source":["Создайте оптимизационную задачу, применив к ней линейный решатель <code>GLPK</code>, и сохраните ее в переменной <code>Opt_ration</code>.      "],"id":"9578c16a","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"58be6041"}},{"outputs":[],"cell_type":"code","source":[""],"id":"01bcba34","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"9d977a82"},"execution_count":0},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"7c1f5148","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":1,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"b626b814"}},{"outputs":[],"cell_type":"code","source":["Opt_ration = Model(GLPK.Optimizer)"],"id":"1ad4fafe","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"1720629d"},"execution_count":0},{"cell_type":"markdown","source":["### ✏️Задание 2"],"id":"964d2c13","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"073ebc47"}},{"cell_type":"markdown","source":["Используя команду <code>@variable()</code>, создайте переменную <code>Portions</code>, определяющую количество порций того или иного продукта, которое будет рассчитано исходя из поставленных нами условий подбора рациона. Используйте <code>Portions[]</code>, чтобы обозначить необходимое количество элементов переменной <code>Portions</code> для размещения всех видов продуктов таблицы <code>Nutrition</code>."],"id":"cb3db56b","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"5edcbeb7"}},{"cell_type":"markdown","source":["Для текущей задачи через запятую также необходимо указать, что значения переменных не могут быть меньше нуля (<code>lower_bound = 0</code>)."],"id":"d726d12e","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"7bb2819c"}},{"outputs":[],"cell_type":"code","source":[""],"id":"0a3317f3","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"eca1f462"},"execution_count":0},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"be14055c","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":2,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"d943c128"}},{"outputs":[],"cell_type":"code","source":["@variable(Opt_ration, Portions[1:20], lower_bound = 0)"],"id":"823d4adc","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"6a8154c0"},"execution_count":0},{"cell_type":"markdown","source":["Данная переменная будет содержать количество порций того или иного продукта, полученное нами после выполнения условий подбора рациона.\r\n"],"id":"060629d3","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"a100f633"}},{"cell_type":"markdown","source":["### ✏️Задание 3 "],"id":"191c7da4","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"9e50b0b1"}},{"cell_type":"markdown","source":["В данном упражнении мы минимизируем затраты на наш рацион. Поэтому целевая функция нашей оптимизационной задачи будет основана на стоимости продуктов питания."],"id":"a3645cd8","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"52d0ced8"}},{"cell_type":"markdown","source":["Перемножьте столбец <code>Nutrition.\"Price\"</code> на переменную <code>Portions</code> и сохраните результат в переменной <code>Price</code>."],"id":"45210933","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"c0a42450"}},{"outputs":[],"cell_type":"code","source":[""],"id":"df896412","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"bd7ba9f5"},"execution_count":0},{"cell_type":"markdown","source":["#### Подсказка"],"id":"227adbf3","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":4,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"ce24e095"}},{"cell_type":"markdown","source":["Используйте <code>.*</code> для перемножения векторов."],"id":"8aaa4f22","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"fe096ac9"}},{"cell_type":"markdown","source":["##### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"aa393e90","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":2,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":false},"id":"9424e64a"}},{"outputs":[],"cell_type":"code","source":["Price = Nutrition.\"Price\" .* Portions"],"id":"03af655b","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"5eb4a19b"},"execution_count":0},{"cell_type":"markdown","source":["Теперь переменная <code>Price</code> будет содержать стоимость полученного нами в дальнейшем количества порций того или иного продукта питания."],"id":"390867ad","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"01d057ab"}},{"cell_type":"markdown","source":["### ✏️Задание 4 "],"id":"c1806b7f","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"66796751"}},{"cell_type":"markdown","source":["Суммируйте все значения переменной <code>Price</code>, чтобы получить стоимость всего рациона, и сохраните результат в переменной <code>TotalPrice</code>."],"id":"4ec565ec","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"0ae3c23b"}},{"outputs":[],"cell_type":"code","source":[""],"id":"1fadc5f3","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"99fc4eeb"},"execution_count":0},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"6c24db1b","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":1,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"a376fed9"}},{"outputs":[],"cell_type":"code","source":["TotalPrice = sum(Price)"],"id":"514c778a","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"bb9ebbbf"},"execution_count":0},{"cell_type":"markdown","source":["### ✏️Задание 5"],"id":"20ef4141","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"14e36f03"}},{"cell_type":"markdown","source":["Создайте целевую функцию для нашей оптимизационной задачи <code>Opt_ration</code> с помощью команды <code>@objective()</code>. Помните, что нам необходимо найти возможный минимум затрат на все продукты питания, из которых мы можем составить наш рацион."],"id":"f7331848","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"5ac47f69"}},{"outputs":[],"cell_type":"code","source":[""],"id":"f3bcf8f3","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"cf8140b5"},"execution_count":0},{"cell_type":"markdown","source":["#### Подсказка"],"id":"b54372fb","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":3,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"941f0630"}},{"cell_type":"markdown","source":["Используйте <code>Min</code> и <code>TotalPrice</code> через запятую как второй и третий аргумент в команде <code>@objective()</code>."],"id":"17ea76da","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"16d8f5d5"}},{"cell_type":"markdown","source":["##### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"749109cf","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":1,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":false},"id":"0014a533"}},{"outputs":[],"cell_type":"code","source":["@objective(Opt_ration, Min, TotalPrice)"],"id":"847982a7","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"0cf27322"},"execution_count":0},{"cell_type":"markdown","source":["### ✏️Задание 6"],"id":"21279400","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"866e36f6"}},{"cell_type":"markdown","source":["Проверьте работу целевой функции на данном этапе. Для этого решите оптимизационную задачу и визуализируйте полученный результат."],"id":"5028f372","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"fc495900"}},{"cell_type":"markdown","source":["Решите оптимизационную задачу и просмотрите ее параметры с помощью команд <code>optimize!()</code> и <code>display()</code>."],"id":"595dde80","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"69c05c2a"}},{"outputs":[],"cell_type":"code","source":[""],"id":"d5b2a4af","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"c6771992"},"execution_count":0},{"outputs":[],"cell_type":"code","source":[""],"id":"22e08b12","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"094b422c"},"execution_count":0},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"1ed34ce8","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":2,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"ea83d826"}},{"outputs":[],"cell_type":"code","source":["optimize!(Opt_ration)"],"id":"64bca8ee","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"3ac1171f"},"execution_count":0},{"outputs":[],"cell_type":"code","source":["display(Opt_ration)"],"id":"6748987c","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"cc868755"},"execution_count":0},{"cell_type":"markdown","source":["### ✏️Задание 7"],"id":"782dce3f","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"542d182e"}},{"cell_type":"markdown","source":["Получите оптимизированные значения порций из переменной <code>Portions</code>. Для этого используйте команду <code>value.()</code>. Обратите внимание, что так как оптимизационная переменная Portions является вектором, нам необходимо добавить <code>.</code> в команде перед скобками. Сохраните результат в новой переменной <code>Op_portions</code>."],"id":"a6feb038","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"e8f8c97a"}},{"outputs":[],"cell_type":"code","source":[""],"id":"defc233b","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"22fdb181"},"execution_count":0},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"7e2389d4","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":2,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"26933775"}},{"outputs":[],"cell_type":"code","source":["Op_portions = value.(Portions)"],"id":"6a168833","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"69b9f6a0"},"execution_count":0},{"cell_type":"markdown","source":["Совпадают ли результаты с вашими ожиданиями? Попробуйте объяснить, почему оптимизированные значения равны нулю. "],"id":"83145c2e","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"3cfb1245"}},{"cell_type":"markdown","source":["### ✏️Задание 8"],"id":"c797b840","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"a92c4aed"}},{"cell_type":"markdown","source":["Для визуализации результатов мы будем использовать библиотеку <code>Plots</code>. Для этого мы присоединим вектор с оптимизированными значениями порций <code>Op_portions</code> к изначальной таблице <code>Nutrition</code>, переведем в тип <code>DataFrame</code> и сохраним в новой переменной <code>Price_port</code>. Затем передадим нашу новую переменную в команду <code>plot</code>, укажем имена столбцов, которые хотим визуализировать, и поставим тип графика как <code>bar</code>. Столбец `Op_portions`, значения которого мы хотим визуализировать, при добавлении к таблице по умолчанию получает имя `x1`. Выполните команды ниже: "],"id":"cb640c86","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"7530670c"}},{"outputs":[],"cell_type":"code","source":["Price_port = DataFrame([Nutrition Op_portions])\r\nplot(Price_port.Name, Price_port.x1, seriestype=\"bar\")"],"id":"0a76b4ae","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"96bcadab"},"execution_count":0},{"cell_type":"markdown","source":["## 2. Условие калорийности рациона"],"id":"1b89c0c5","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"a368ecba"}},{"cell_type":"markdown","source":["Теперь создадим условия оптимизации нашего рациона. Мы оптимизируем рацион по количеству калорий, белков, углеводов и жиров, которые он должен содержать."],"id":"94959904","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"b22b1db3"}},{"cell_type":"markdown","source":["Для начала установим границы калорийности нашего рациона."],"id":"db15e5ab","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"572c30c3"}},{"cell_type":"markdown","source":["### ✏️Задание 9"],"id":"cad68e56","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"7323a9e7"}},{"cell_type":"markdown","source":["Перемножьте столбец <code>Nutrition.\"Calories\"</code> на переменную <code>Portions</code> и сохраните результат в переменной <code>Calories</code>."],"id":"7d85d28a","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"8ce81888"}},{"outputs":[],"cell_type":"code","source":[""],"id":"fc712645","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"9607ddc5"},"execution_count":0},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"542578c1","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":1,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"310f5fbc"}},{"outputs":[],"cell_type":"code","source":["Calories = Nutrition.\"Calories\" .* Portions"],"id":"5f0f3e88","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"3dbc2ab2"},"execution_count":0},{"cell_type":"markdown","source":["### ✏️Задание 10 "],"id":"d37cbb32","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"af7056a8"}},{"cell_type":"markdown","source":["Рассчитайте сумму всех элементов вектора <code>Calories</code> и сохраните ее в переменной <code>TotalCals</code>."],"id":"e135584e","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"f0a8b7a8"}},{"outputs":[],"cell_type":"code","source":[""],"id":"31414976","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"908d9581"},"execution_count":0},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"7c506fc2","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":1,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"e05a04b7"}},{"outputs":[],"cell_type":"code","source":["TotalCals = sum(Calories)"],"id":"d143c157","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"572062ee"},"execution_count":0},{"cell_type":"markdown","source":["### ✏️Задание 11"],"id":"d5b1d7cc","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"c5930968"}},{"cell_type":"markdown","source":["Создайте условие для оптимизационной задачи <code>Opt_ration</code> с помощью команды <code>@constraint()</code>. В команде через запятую укажите имя условия как <code>C1</code> и границы переменной <code>TotalCals</code> между 2000 и 2500 калорий. "],"id":"edb1abd4","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"239dc5c6"}},{"outputs":[],"cell_type":"code","source":[""],"id":"7e75da74","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"b22c7cf8"},"execution_count":0},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"7164ab08","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":1,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"4171ec4c"}},{"outputs":[],"cell_type":"code","source":["@constraint(Opt_ration, C1, 2000 <= TotalCals <= 2500)"],"id":"4e5f390c","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"edb3f952"},"execution_count":0},{"cell_type":"markdown","source":["### ✏️Задание 12"],"id":"f5f93272","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"80a60ee4"}},{"cell_type":"markdown","source":["Решите оптимизационную задачу с заданным условием и просмотрите ее параметры с помощью команд <code>optimize!()</code> и <code>display()</code>."],"id":"8b7f3bcf","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"92759a37"}},{"outputs":[],"cell_type":"code","source":[""],"id":"a82bda31","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"8c24d6bd"},"execution_count":0},{"outputs":[],"cell_type":"code","source":[""],"id":"725ff32b","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"b66191db"},"execution_count":0},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"f66b4556","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":2,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"017b73f2"}},{"outputs":[],"cell_type":"code","source":["optimize!(Opt_ration)"],"id":"0c64e5b0","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"8ee35fb6"},"execution_count":0},{"outputs":[],"cell_type":"code","source":["display(Opt_ration)"],"id":"06f54864","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"42f7b413"},"execution_count":0},{"cell_type":"markdown","source":["### ✏️Задание 13"],"id":"6ace1f03","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"44eaea28"}},{"cell_type":"markdown","source":["Получите новые оптимизированные значения порций из переменной <code>Portions</code>. Для этого используйте команду <code>value.()</code>. Обратите внимание, что так как оптимизационная переменная Portions является вектором, нам необходимо добавить <code>.</code> в команде перед скобками. Сохраните результат в переменной <code>Op_portions</code>."],"id":"966278c5","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"34d1d681"}},{"cell_type":"markdown","source":["Затем визуализируйте новые результаты. Для этого присоедините вектор с оптимизированными значениями порций <code>Op_portions</code> к изначальной таблице <code>Nutrition</code>, переведите в тип <code>DataFrame</code> и сохраните в новой переменной <code>Cals_port</code>. Затем передайте нашу новую переменную в команду <code>plot</code> по аналогии с **Заданием 8**."],"id":"ec15f888","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"3119ea31"}},{"outputs":[],"cell_type":"code","source":[""],"id":"a170f44d","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"b9b78cf5"},"execution_count":0},{"outputs":[],"cell_type":"code","source":[""],"id":"fc181745","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"6f81cae1"},"execution_count":0},{"outputs":[],"cell_type":"code","source":[""],"id":"6496b4e1","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"bb726751"},"execution_count":0},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"45a956f2","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":4,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"d9101f95"}},{"outputs":[],"cell_type":"code","source":["Op_portions = value.(Portions)"],"id":"073e5425","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"463cf948"},"execution_count":0},{"outputs":[],"cell_type":"code","source":["Cals_port = DataFrame([Nutrition Op_portions])"],"id":"7d3f4a5b","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"7cd3192c"},"execution_count":0},{"outputs":[],"cell_type":"code","source":["plot(Cals_port.Name, Cals_port.x1, seriestype=\"bar\")"],"id":"41bd1c9f","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"6419cea2"},"execution_count":0},{"cell_type":"markdown","source":["Теперь результат отображает выполнение условия калорийности при минимальной стоимости рациона."],"id":"bf0eb400","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"d0832b4f"}},{"cell_type":"markdown","source":["## 3. Условие наличия минимального количества белка"],"id":"a21b5840","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"3038eae0"}},{"cell_type":"markdown","source":["Теперь мы зададим дополнительное условие по наличию минимального количества белка в нашем рационе."],"id":"9350caa9","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"4993a67b"}},{"cell_type":"markdown","source":["### ✏️Задание 14"],"id":"0975408f","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"6572c769"}},{"cell_type":"markdown","source":["Перемножьте столбец <code>Nutrition.\"Protein (g)\"</code> на переменную <code>Portions</code> и сохраните результат в переменной <code>Protein</code>.\r\n"],"id":"796160ae","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"c0202c4d"}},{"outputs":[],"cell_type":"code","source":[""],"id":"ee1d3832","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"0a0aa5f7"},"execution_count":0},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"07947469","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":1,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"9db841b5"}},{"outputs":[],"cell_type":"code","source":["Protein = Nutrition.\"Protein (g)\" .* Portions"],"id":"c73bea0e","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"b51a0731"},"execution_count":0},{"cell_type":"markdown","source":["### ✏️Задание 15"],"id":"ab525975","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"dd34f756"}},{"cell_type":"markdown","source":["Рассчитайте сумму всех элементов вектора <code>Protein</code> и сохраните в переменной <code>TotalProt</code>."],"id":"d42b5b3c","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"fb9eb789"}},{"outputs":[],"cell_type":"code","source":[""],"id":"e017558e","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"05577e68"},"execution_count":0},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"d6b7072e","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":1,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"ee26524e"}},{"outputs":[],"cell_type":"code","source":["TotalProt = sum(Protein)"],"id":"2d3df0c2","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"39d36934"},"execution_count":0},{"cell_type":"markdown","source":["### ✏️Задание 16"],"id":"3b59d1ae","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"556fe634"}},{"cell_type":"markdown","source":["Создадим условие, чтобы наш рацион содержал как минимум 100 граммов белка."],"id":"51400f05","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"e3cbb9ba"}},{"cell_type":"markdown","source":["Создайте условие для оптимизационной задачи <code>Opt_ration</code> с помощью команды <code>@constraint()</code>. В команде через запятую укажите имя условия как <code>C2</code> и значение переменной <code>TotalProt</code> больше или равно (>=) 100. "],"id":"2ea42467","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"7cbcc13f"}},{"outputs":[],"cell_type":"code","source":[""],"id":"880573c5","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"843e8ad7"},"execution_count":0},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"bddc874f","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":1,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"3ccf5f7a"}},{"outputs":[],"cell_type":"code","source":["@constraint(Opt_ration, C2, TotalProt >= 100)"],"id":"53e8f77c","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"33f8ca38"},"execution_count":0},{"cell_type":"markdown","source":["### ✏️Задание 17"],"id":"9f01971b","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"b433f704"}},{"cell_type":"markdown","source":["Решите оптимизационную задачу с заданным условием и просмотрите ее параметры с помощью команд <code>optimize!()</code> и <code>display()</code>."],"id":"9bb1639d","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"f178a05e"}},{"outputs":[],"cell_type":"code","source":[""],"id":"87f30960","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"1c64a659"},"execution_count":0},{"outputs":[],"cell_type":"code","source":[""],"id":"41364673","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"f8c696d8"},"execution_count":0},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"9a4995af","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":2,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"dcc30c7a"}},{"outputs":[],"cell_type":"code","source":["optimize!(Opt_ration)"],"id":"1fc0ad87","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"4e80dd43"},"execution_count":0},{"outputs":[],"cell_type":"code","source":["display(Opt_ration)"],"id":"d59f9b6a","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"312a3c52"},"execution_count":0},{"cell_type":"markdown","source":["### ✏️Задание 18"],"id":"08011ce9","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"7b0f41ce"}},{"cell_type":"markdown","source":["Получите новые оптимизированные значения порций из переменной <code>Portions</code>. Для этого используйте команду <code>value.()</code>. Обратите внимание, что так как оптимизационная переменная Portions является вектором, нам необходимо добавить <code>.</code> в команде перед скобками. Сохраните результат в переменной <code>Op_portions</code>."],"id":"d8ffad23","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"c7c9d8e7"}},{"cell_type":"markdown","source":["Затем визуализируйте новые результаты. Для этого присоедините вектор с оптимизированными значениями порций <code>Op_portions</code> к изначальной таблице <code>Nutrition</code>, переведите в тип <code>DataFrame</code> и сохраните в новой переменной <code>Prot_port</code>. Затем передайте нашу новую переменную в команду <code>plot</code>."],"id":"cf25ebe9","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"26bcaa8d"}},{"outputs":[],"cell_type":"code","source":[""],"id":"145aa1e1","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"fe2110d1"},"execution_count":0},{"outputs":[],"cell_type":"code","source":[""],"id":"e787f3c6","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"f05dc12d"},"execution_count":0},{"outputs":[],"cell_type":"code","source":[""],"id":"41c829cc","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"1831db9b"},"execution_count":0},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"9a8c8c74","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":4,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"cd7aeaec"}},{"outputs":[],"cell_type":"code","source":["Op_portions = value.(Portions)"],"id":"65942c2c","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"361234d8"},"execution_count":0},{"outputs":[],"cell_type":"code","source":["Prot_port = DataFrame([Nutrition Op_portions])"],"id":"e4d5d19f","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"c71f265f"},"execution_count":0},{"outputs":[],"cell_type":"code","source":["plot(Prot_port.Name, Prot_port.x1, seriestype=\"bar\")"],"id":"4c52b571","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"cfaa3c0e"},"execution_count":0},{"cell_type":"markdown","source":["Теперь результат отображает выполнение условий калорийности и наличия минимального количества белка при минимальной стоимости рациона."],"id":"69bd4494","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"f6bacafd"}},{"cell_type":"markdown","source":["## 4. Условие наличия минимального количества жиров"],"id":"6909cf79","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"696dd462"}},{"cell_type":"markdown","source":["Зададим дополнительное условие по наличию минимального количества жиров в нашем рационе."],"id":"b4c31855","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"ec4704fd"}},{"cell_type":"markdown","source":["### ✏️Задание 19"],"id":"9611fed3","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"d05d6870"}},{"cell_type":"markdown","source":["Перемножьте столбец <code>Nutrition.\"Fat (g)\"</code> на переменную <code>Portions</code> и сохраните результат в переменной <code>Fats</code>.\r\n"],"id":"620bff59","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"71128bcc"}},{"outputs":[],"cell_type":"code","source":[""],"id":"180bed11","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"e6575cf2"},"execution_count":0},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"9a1474df","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":1,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"246d3b2e"}},{"outputs":[],"cell_type":"code","source":["Fats = Nutrition.\"Fat (g)\".* Portions"],"id":"9a59a939","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"5e885b3d"},"execution_count":0},{"cell_type":"markdown","source":["### ✏️Задание 20"],"id":"04377942","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"a03cf6a9"}},{"cell_type":"markdown","source":["Рассчитайте сумму всех элементов вектора <code>Fats</code> и сохраните в переменной <code>TotalFats</code>."],"id":"c15ab0e1","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"b45f46f0"}},{"outputs":[],"cell_type":"code","source":[""],"id":"f7ac34e9","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"7f8b6795"},"execution_count":0},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"2b6c15bb","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":1,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"b027cb89"}},{"outputs":[],"cell_type":"code","source":["TotalFats = sum(Fats)"],"id":"f39726c9","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"dd24609d"},"execution_count":0},{"cell_type":"markdown","source":["### ✏️Задание 21"],"id":"1f6e8bff","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"3af300ae"}},{"cell_type":"markdown","source":["Создадим условие, чтобы наш рацион содержал как минимум 70 граммов жиров."],"id":"e35abf07","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"628ffd43"}},{"cell_type":"markdown","source":["Создайте условие для оптимизационной задачи <code>Opt_ration</code> с помощью команды <code>@constraint()</code>. В команде через запятую укажите имя условия как <code>C3</code> и значение переменной <code>TotalFats</code> больше или равно (>=) 70."],"id":"76c62c66","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"e001c473"}},{"outputs":[],"cell_type":"code","source":[""],"id":"5a9c9657","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"39d35ef0"},"execution_count":0},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"d8681d47","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":1,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"8dff7cb3"}},{"outputs":[],"cell_type":"code","source":["@constraint(Opt_ration, C3,  TotalFats >= 70)"],"id":"4c8e2259","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"b8358a8e"},"execution_count":0},{"cell_type":"markdown","source":["### ✏️Задание 22"],"id":"0d107213","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"3618072e"}},{"cell_type":"markdown","source":["Решите оптимизационную задачу с заданным условием и просмотрите ее параметры с помощью команд <code>optimize!()</code> и <code>display()</code>."],"id":"f0a6642b","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"07370e30"}},{"outputs":[],"cell_type":"code","source":[""],"id":"d300ce3f","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"a939697a"},"execution_count":0},{"outputs":[],"cell_type":"code","source":[""],"id":"98dfac30","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"a130b9a6"},"execution_count":0},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"f84b1dcd","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":2,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"9d9319eb"}},{"outputs":[],"cell_type":"code","source":["optimize!(Opt_ration)"],"id":"4d872b45","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"4016b110"},"execution_count":0},{"outputs":[],"cell_type":"code","source":["display(Opt_ration)"],"id":"27606596","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"b4fab54c"},"execution_count":0},{"cell_type":"markdown","source":["### ✏️Задание 23"],"id":"71d208a9","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"30169674"}},{"cell_type":"markdown","source":["Получите новые оптимизированные значения порций из переменной <code>Portions</code>. Для этого используйте команду <code>value.()</code>. Обратите внимание, что так как оптимизационная переменная Portions является вектором, нам необходимо добавить <code>.</code> в команде перед скобками. Сохраните результат в переменной <code>Op_portions</code>."],"id":"0ffea48e","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"136118ec"}},{"cell_type":"markdown","source":["Затем визуализируйте новые результаты. Для этого присоедините вектор с оптимизированными значениями порций <code>Op_portions</code> к изначальной таблице <code>Nutrition</code>, переведите в тип <code>DataFrame</code> и сохраните в новой переменной <code>Fats_port</code>. Затем передайте нашу новую переменную в команду <code>plot</code>."],"id":"45f8cb60","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"688c46c4"}},{"outputs":[],"cell_type":"code","source":[""],"id":"68e73903","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"4f17a752"},"execution_count":0},{"outputs":[],"cell_type":"code","source":[""],"id":"31d14338","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"5a9d9da6"},"execution_count":0},{"outputs":[],"cell_type":"code","source":[""],"id":"f4029fc6","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"62845327"},"execution_count":0},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"9dcf3563","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":3,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"4db98646"}},{"outputs":[],"cell_type":"code","source":["Op_portions = value.(Portions)"],"id":"9da1cc67","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"37380d11"},"execution_count":0},{"outputs":[],"cell_type":"code","source":["Fats_port = DataFrame([Nutrition Op_portions])"],"id":"eb3cf284","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"905dc35a"},"execution_count":0},{"outputs":[],"cell_type":"code","source":["plot(Fats_port.Name, Fats_port.x1, seriestype=\"bar\")"],"id":"7bb687d8","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"5537aaf6"},"execution_count":0},{"cell_type":"markdown","source":["## 5. Условие наличия минимального количества углеводов"],"id":"3a9494d0","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"c236d79c"}},{"cell_type":"markdown","source":["Зададим последнее дополнительное условие по наличию минимального количества углеводов в нашем рационе."],"id":"70764c00","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"d52fccfc"}},{"cell_type":"markdown","source":["### ✏️Задание 24"],"id":"90683f05","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"6963e8a6"}},{"cell_type":"markdown","source":["Перемножьте столбец <code>Nutrition.\"Carbohydrate (g)\"</code> на переменную <code>Portions</code> и сохраните результат в переменной <code>Carbs</code>."],"id":"5b1fbd34","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"cc43ba7e"}},{"outputs":[],"cell_type":"code","source":[""],"id":"a86de430","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"c420e7be"},"execution_count":0},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"d9a052c6","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":1,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"087b5e50"}},{"outputs":[],"cell_type":"code","source":["Carbs = Nutrition.\"Carbohydrate (g)\" .* Portions"],"id":"28bc681e","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"2511c521"},"execution_count":0},{"cell_type":"markdown","source":["### ✏️Задание 25"],"id":"9df4c41a","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"25333a5b"}},{"cell_type":"markdown","source":["Рассчитайте сумму всех элементов вектора <code>Carbs</code> и сохраните в переменной <code>TotalCarbs</code>."],"id":"0531a8a7","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"43cd940d"}},{"outputs":[],"cell_type":"code","source":[""],"id":"f18783c5","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"37abcf60"},"execution_count":0},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"13f6e4f4","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":1,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"1d2ae58c"}},{"outputs":[],"cell_type":"code","source":["TotalCarbs = sum(Carbs)"],"id":"3f7c7f11","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"d4cc061c"},"execution_count":0},{"cell_type":"markdown","source":["### ✏️Задание 26"],"id":"22b990cb","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"02160b5a"}},{"cell_type":"markdown","source":["Создадим условие, чтобы наш рацион содержал как минимум 400 граммов углеводов."],"id":"0828d4da","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"2805a567"}},{"cell_type":"markdown","source":["Создайте условие для оптимизационной задачи <code>Opt_ration</code> с помощью команды <code>@constraint()</code>. В команде через запятую укажите имя условия как <code>C4</code> и значение переменной <code>TotalCarbs</code> больше или равно (>=) 400."],"id":"3339ccd8","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"30dc02d8"}},{"outputs":[],"cell_type":"code","source":[""],"id":"6c5d0a03","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"4e99e4c2"},"execution_count":0},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"b7cb0b65","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":1,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"3ec0a39c"}},{"outputs":[],"cell_type":"code","source":["@constraint(Opt_ration, C4, TotalCarbs >= 400)"],"id":"0cdd87fd","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"7f1032c3"},"execution_count":0},{"cell_type":"markdown","source":["### ✏️Задание 27"],"id":"697489f1","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"849fde35"}},{"cell_type":"markdown","source":["Решите оптимизационную задачу с заданным условием и просмотрите ее параметры с помощью команд <code>optimize!()</code> и <code>display()</code>."],"id":"f8604211","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"70206915"}},{"outputs":[],"cell_type":"code","source":[""],"id":"18809596","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"f8ff3d40"},"execution_count":0},{"outputs":[],"cell_type":"code","source":[""],"id":"c5f1803f","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"c64e0c07"},"execution_count":0},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"f673095c","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":2,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"02d8ade1"}},{"outputs":[],"cell_type":"code","source":["optimize!(Opt_ration)"],"id":"02c23945","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"7a34402b"},"execution_count":0},{"outputs":[],"cell_type":"code","source":["display(Opt_ration)"],"id":"e7cbf5bb","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"16821441"},"execution_count":0},{"cell_type":"markdown","source":["## 6. Итоговые результаты "],"id":"d88306b5","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"34060dcc"}},{"cell_type":"markdown","source":["Получите новые оптимизированные значения порций из переменной <code>Portions</code>. Для этого используйте команду <code>value.()</code>. Обратите внимание, что так как оптимизационная переменная Portions является вектором, нам необходимо добавить <code>.</code> в команде перед скобками. Сохраните результат в переменной <code>Op_portions</code>."],"id":"b8bf1270","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"699f4f5d"}},{"cell_type":"markdown","source":["Визуализируйте итоговый результат оптимизационной задачи. Для этого присоедините вектор с оптимизированными значениями порций <code>Op_portions</code> к изначальной таблице <code>Nutrition</code>, переведите в тип <code>DataFrame</code> и сохраните в новой переменной <code>Total_port</code>. Затем передайте нашу новую переменную в команду <code>plot</code>."],"id":"af348f82","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"a45de88e"}},{"outputs":[],"cell_type":"code","source":[""],"id":"9152bd87","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"31cae01a"},"execution_count":0},{"outputs":[],"cell_type":"code","source":[""],"id":"b01d6379","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"c45dbf6b"},"execution_count":0},{"outputs":[],"cell_type":"code","source":[""],"id":"242c7bf2","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"5d3c3735"},"execution_count":0},{"cell_type":"markdown","source":["Вы можете вывести информацию о решениях и убедиться, что они удовлетворяют заданным вами условиям с помощью команды <code>solution_summary()</code>."],"id":"31a290ad","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"f744128f"}},{"outputs":[],"cell_type":"code","source":[""],"id":"af0c3a50","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"14fba39d"},"execution_count":0},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"553d6b93","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":4,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"6adf7b38"}},{"outputs":[],"cell_type":"code","source":["Op_portions = value.(Portions)"],"id":"beb248d0","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"690e7e3f"},"execution_count":0},{"outputs":[],"cell_type":"code","source":["Total_port = DataFrame([Nutrition Op_portions])"],"id":"7bc6761a","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"2a55e1b9"},"execution_count":0},{"outputs":[],"cell_type":"code","source":["plot(Total_port.Name, Total_port.x1, seriestype=\"bar\")"],"id":"a9fe6fda","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"8d094acb"},"execution_count":0},{"outputs":[],"cell_type":"code","source":["solution_summary(Opt_ration)"],"id":"c3680178","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"9b5ee0ac"},"execution_count":0},{"cell_type":"markdown","source":["## Тест для получения сертификата\r\n<noscript><div><img src=\"https://mc.yandex.ru/watch/97656070\" style=\"position:absolute; left:-9999px;\" alt=\"\" /></div></noscript>"],"id":"d29bcabc","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"80ad445a"}},{"cell_type":"markdown","source":["<p align=\"center\">\r\n<a style=\"padding: 8px 16px;\r\n    border: 3px blue;\r\n    border-radius: 15px;\r\n    color: white;\r\n    background-color: #1b83ba;\r\n    font-size: 24pt; \r\n    text-decoration: none;\" href=\"https://my.etude.org/link/8ZbqTmayk3dAuH-WExVO_NvngJH4fEDfhU24gwSVcz0uSmRImg2NSrxBXBhE_RiuKlG2ap9F9po7ZrCV3rVVDVAMIQwT4IGWY16JbFiuLWuqvdxlKykLI18E_IKsyPkW4z8XrjyOFZ0Xn_pJd46UjFnJ-WhzK-PT-WNfYmsSXJU=?engee\"\r\n     target=\"_blank\">Пройти тест по разделу >></a>\r\n</p>"],"id":"f276368d","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"5bd0d7a4"}}],"nbformat_minor":5,"metadata":{"engee":{},"language_info":{"file_extension":".jl","name":"julia","version":"1.9.3"},"kernelspec":{"name":"ijulia-1.9","display_name":"IJulia 1.9.3","language":"julia"}},"nbformat":4}
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+{
+  "nbformat": 4,
+  "nbformat_minor": 5,
+  "metadata": {
+    "kernelspec": {
+      "name": "ijulia-1.9",
+      "display_name": "IJulia 1.9.3",
+      "language": "julia"
+    },
+    "language_info": {
+      "name": "julia",
+      "file_extension": ".jl",
+      "version": "1.9.3"
+    },
+    "engee": {}
+  },
+  "cells": [
+    {
+      "id": "d29c980e",
+      "cell_type": "markdown",
+      "source": [
+        "# Условная оптимизация"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "f6f4c649",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "c74dab53",
+      "cell_type": "markdown",
+      "source": [
+        "Задачи условной оптимизации состоят в поиске максимума или минимума заданной функции при наличии определенных условий, накладывающих ряд ограничений на возможные решения задачи."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "f609a092",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "199fdbcd",
+      "cell_type": "markdown",
+      "source": [
+        "В этом разделе мы рассмотрим задачу условной оптимизации по подбору оптимального рациона питания."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "745473af",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "cd2caff4",
+      "cell_type": "markdown",
+      "source": [
+        "## 1. Создание условной оптимизационной задачи"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "4ff05e94",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "4aa7afb2",
+      "cell_type": "markdown",
+      "source": [
+        "Для решения данной задачи мы используем оптимизационную библиотеку <code>JuMP</code> и линейный решатель <code>GLPK</code>. Нам также понадобятся библиотеки <code>XLSX</code> и <code>DataFrames</code> для работы с табличными данными и библиотека <code>Plots</code> для визуализации результатов. Для их использования необходимо выполнить команду ниже:"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "4832462a",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "c1473b7b",
+      "cell_type": "code",
+      "source": [
+        "using JuMP, GLPK, XLSX, DataFrames, Plots;"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "c77ccfb2",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "b9065907",
+      "cell_type": "markdown",
+      "source": [
+        "Загрузите таблицу с данными, выполнив команду ниже: "
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "7b427f99",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "dabc599f",
+      "cell_type": "code",
+      "source": [
+        "Nutrition = DataFrame(XLSX.readtable(\"nutrition.xlsx\", \"Sheet1\"))"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "b8f239a1",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "c40a5580",
+      "cell_type": "markdown",
+      "source": [
+        "Таблица содержит информацию о содержании питательных веществ в двадцати различных продуктах, а также их условную цену."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "6e271c0f",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "b902071e",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 1"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "e6c34755",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "9578c16a",
+      "cell_type": "markdown",
+      "source": [
+        "Создайте оптимизационную задачу, применив к ней линейный решатель <code>GLPK</code>, и сохраните ее в переменной <code>Opt_ration</code>.      "
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "58be6041",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "01bcba34",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "9d977a82",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "7c1f5148",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "b626b814",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 1,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "1ad4fafe",
+      "cell_type": "code",
+      "source": [
+        "Opt_ration = Model(GLPK.Optimizer)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "1720629d",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "964d2c13",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 2"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "073ebc47",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "cb3db56b",
+      "cell_type": "markdown",
+      "source": [
+        "Используя команду <code>@variable()</code>, создайте переменную <code>Portions</code>, определяющую количество порций того или иного продукта, которое будет рассчитано исходя из поставленных нами условий подбора рациона. Используйте <code>Portions[]</code>, чтобы обозначить необходимое количество элементов переменной <code>Portions</code> для размещения всех видов продуктов таблицы <code>Nutrition</code>."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "5edcbeb7",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "d726d12e",
+      "cell_type": "markdown",
+      "source": [
+        "Для текущей задачи через запятую также необходимо указать, что значения переменных не могут быть меньше нуля (<code>lower_bound = 0</code>)."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "7bb2819c",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "0a3317f3",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "eca1f462",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "be14055c",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "d943c128",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 2,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "823d4adc",
+      "cell_type": "code",
+      "source": [
+        "@variable(Opt_ration, Portions[1:20], lower_bound = 0)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "6a8154c0",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "060629d3",
+      "cell_type": "markdown",
+      "source": [
+        "Данная переменная будет содержать количество порций того или иного продукта, полученное нами после выполнения условий подбора рациона.\r\n"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "a100f633",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "191c7da4",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 3 "
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "9e50b0b1",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "a3645cd8",
+      "cell_type": "markdown",
+      "source": [
+        "В данном упражнении мы минимизируем затраты на наш рацион. Поэтому целевая функция нашей оптимизационной задачи будет основана на стоимости продуктов питания."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "52d0ced8",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "45210933",
+      "cell_type": "markdown",
+      "source": [
+        "Перемножьте столбец <code>Nutrition.\"Price\"</code> на переменную <code>Portions</code> и сохраните результат в переменной <code>Price</code>."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "c0a42450",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "df896412",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "bd7ba9f5",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "227adbf3",
+      "cell_type": "markdown",
+      "source": [
+        "#### Подсказка"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "ce24e095",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 4,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "8aaa4f22",
+      "cell_type": "markdown",
+      "source": [
+        "Используйте <code>.*</code> для перемножения векторов."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "fe096ac9",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "aa393e90",
+      "cell_type": "markdown",
+      "source": [
+        "##### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "9424e64a",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 2,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "03af655b",
+      "cell_type": "code",
+      "source": [
+        "Price = Nutrition.\"Price\" .* Portions"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "5eb4a19b",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "390867ad",
+      "cell_type": "markdown",
+      "source": [
+        "Теперь переменная <code>Price</code> будет содержать стоимость полученного нами в дальнейшем количества порций того или иного продукта питания."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "01d057ab",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "c1806b7f",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 4 "
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "66796751",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "4ec565ec",
+      "cell_type": "markdown",
+      "source": [
+        "Суммируйте все значения переменной <code>Price</code>, чтобы получить стоимость всего рациона, и сохраните результат в переменной <code>TotalPrice</code>."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "0ae3c23b",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "1fadc5f3",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "99fc4eeb",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "6c24db1b",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "a376fed9",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 1,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "514c778a",
+      "cell_type": "code",
+      "source": [
+        "TotalPrice = sum(Price)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "bb9ebbbf",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "20ef4141",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 5"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "14e36f03",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "f7331848",
+      "cell_type": "markdown",
+      "source": [
+        "Создайте целевую функцию для нашей оптимизационной задачи <code>Opt_ration</code> с помощью команды <code>@objective()</code>. Помните, что нам необходимо найти возможный минимум затрат на все продукты питания, из которых мы можем составить наш рацион."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "5ac47f69",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "f3bcf8f3",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "cf8140b5",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "b54372fb",
+      "cell_type": "markdown",
+      "source": [
+        "#### Подсказка"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "941f0630",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 3,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "17ea76da",
+      "cell_type": "markdown",
+      "source": [
+        "Используйте <code>Min</code> и <code>TotalPrice</code> через запятую как второй и третий аргумент в команде <code>@objective()</code>."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "16d8f5d5",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "749109cf",
+      "cell_type": "markdown",
+      "source": [
+        "##### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "0014a533",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 1,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "847982a7",
+      "cell_type": "code",
+      "source": [
+        "@objective(Opt_ration, Min, TotalPrice)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "0cf27322",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "21279400",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 6"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "866e36f6",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "5028f372",
+      "cell_type": "markdown",
+      "source": [
+        "Проверьте работу целевой функции на данном этапе. Для этого решите оптимизационную задачу и визуализируйте полученный результат."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "fc495900",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "595dde80",
+      "cell_type": "markdown",
+      "source": [
+        "Решите оптимизационную задачу и просмотрите ее параметры с помощью команд <code>optimize!()</code> и <code>display()</code>."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "69c05c2a",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "d5b2a4af",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "c6771992",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "22e08b12",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "094b422c",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "1ed34ce8",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "ea83d826",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 2,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "64bca8ee",
+      "cell_type": "code",
+      "source": [
+        "optimize!(Opt_ration)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "3ac1171f",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "6748987c",
+      "cell_type": "code",
+      "source": [
+        "display(Opt_ration)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "cc868755",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "782dce3f",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 7"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "542d182e",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "a6feb038",
+      "cell_type": "markdown",
+      "source": [
+        "Получите оптимизированные значения порций из переменной <code>Portions</code>. Для этого используйте команду <code>value.()</code>. Обратите внимание, что так как оптимизационная переменная Portions является вектором, нам необходимо добавить <code>.</code> в команде перед скобками. Сохраните результат в новой переменной <code>Op_portions</code>."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "e8f8c97a",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "defc233b",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "22fdb181",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "7e2389d4",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "26933775",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 2,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "6a168833",
+      "cell_type": "code",
+      "source": [
+        "Op_portions = value.(Portions)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "69b9f6a0",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "83145c2e",
+      "cell_type": "markdown",
+      "source": [
+        "Совпадают ли результаты с вашими ожиданиями? Попробуйте объяснить, почему оптимизированные значения равны нулю. "
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "3cfb1245",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "c797b840",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 8"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "a92c4aed",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "cb640c86",
+      "cell_type": "markdown",
+      "source": [
+        "Для визуализации результатов мы будем использовать библиотеку <code>Plots</code>. Для этого мы присоединим вектор с оптимизированными значениями порций <code>Op_portions</code> к изначальной таблице <code>Nutrition</code>, переведем в тип <code>DataFrame</code> и сохраним в новой переменной <code>Price_port</code>. Затем передадим нашу новую переменную в команду <code>plot</code>, укажем имена столбцов, которые хотим визуализировать, и поставим тип графика как <code>bar</code>. Столбец `Op_portions`, значения которого мы хотим визуализировать, при добавлении к таблице по умолчанию получает имя `x1`. Выполните команды ниже: "
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "7530670c",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "0a76b4ae",
+      "cell_type": "code",
+      "source": [
+        "Price_port = DataFrame([Nutrition Op_portions])\r\nplot(Price_port.Name, Price_port.x1, seriestype=\"bar\")"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "96bcadab",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "1b89c0c5",
+      "cell_type": "markdown",
+      "source": [
+        "## 2. Условие калорийности рациона"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "a368ecba",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "94959904",
+      "cell_type": "markdown",
+      "source": [
+        "Теперь создадим условия оптимизации нашего рациона. Мы оптимизируем рацион по количеству калорий, белков, углеводов и жиров, которые он должен содержать."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "b22b1db3",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "db15e5ab",
+      "cell_type": "markdown",
+      "source": [
+        "Для начала установим границы калорийности нашего рациона."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "572c30c3",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "cad68e56",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 9"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "7323a9e7",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "7d85d28a",
+      "cell_type": "markdown",
+      "source": [
+        "Перемножьте столбец <code>Nutrition.\"Calories\"</code> на переменную <code>Portions</code> и сохраните результат в переменной <code>Calories</code>."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "8ce81888",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "fc712645",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "9607ddc5",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "542578c1",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "310f5fbc",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 1,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "5f0f3e88",
+      "cell_type": "code",
+      "source": [
+        "Calories = Nutrition.\"Calories\" .* Portions"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "3dbc2ab2",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "d37cbb32",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 10 "
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "af7056a8",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "e135584e",
+      "cell_type": "markdown",
+      "source": [
+        "Рассчитайте сумму всех элементов вектора <code>Calories</code> и сохраните ее в переменной <code>TotalCals</code>."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "f0a8b7a8",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "31414976",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "908d9581",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "7c506fc2",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "e05a04b7",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 1,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "d143c157",
+      "cell_type": "code",
+      "source": [
+        "TotalCals = sum(Calories)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "572062ee",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "d5b1d7cc",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 11"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "c5930968",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "edb1abd4",
+      "cell_type": "markdown",
+      "source": [
+        "Создайте условие для оптимизационной задачи <code>Opt_ration</code> с помощью команды <code>@constraint()</code>. В команде через запятую укажите имя условия как <code>C1</code> и границы переменной <code>TotalCals</code> между 2000 и 2500 калорий. "
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "239dc5c6",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "7e75da74",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "b22c7cf8",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "7164ab08",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "4171ec4c",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 1,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "4e5f390c",
+      "cell_type": "code",
+      "source": [
+        "@constraint(Opt_ration, C1, 2000 <= TotalCals <= 2500)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "edb3f952",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "f5f93272",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 12"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "80a60ee4",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "8b7f3bcf",
+      "cell_type": "markdown",
+      "source": [
+        "Решите оптимизационную задачу с заданным условием и просмотрите ее параметры с помощью команд <code>optimize!()</code> и <code>display()</code>."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "92759a37",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "a82bda31",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "8c24d6bd",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "725ff32b",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "b66191db",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "f66b4556",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "017b73f2",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 2,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "0c64e5b0",
+      "cell_type": "code",
+      "source": [
+        "optimize!(Opt_ration)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "8ee35fb6",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "06f54864",
+      "cell_type": "code",
+      "source": [
+        "display(Opt_ration)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "42f7b413",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "6ace1f03",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 13"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "44eaea28",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "966278c5",
+      "cell_type": "markdown",
+      "source": [
+        "Получите новые оптимизированные значения порций из переменной <code>Portions</code>. Для этого используйте команду <code>value.()</code>. Обратите внимание, что так как оптимизационная переменная Portions является вектором, нам необходимо добавить <code>.</code> в команде перед скобками. Сохраните результат в переменной <code>Op_portions</code>."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "34d1d681",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "ec15f888",
+      "cell_type": "markdown",
+      "source": [
+        "Затем визуализируйте новые результаты. Для этого присоедините вектор с оптимизированными значениями порций <code>Op_portions</code> к изначальной таблице <code>Nutrition</code>, переведите в тип <code>DataFrame</code> и сохраните в новой переменной <code>Cals_port</code>. Затем передайте нашу новую переменную в команду <code>plot</code> по аналогии с **Заданием 8**."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "3119ea31",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "a170f44d",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "b9b78cf5",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "fc181745",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "6f81cae1",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "6496b4e1",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "bb726751",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "45a956f2",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "d9101f95",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 4,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "073e5425",
+      "cell_type": "code",
+      "source": [
+        "Op_portions = value.(Portions)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "463cf948",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "7d3f4a5b",
+      "cell_type": "code",
+      "source": [
+        "Cals_port = DataFrame([Nutrition Op_portions])"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "7cd3192c",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "41bd1c9f",
+      "cell_type": "code",
+      "source": [
+        "plot(Cals_port.Name, Cals_port.x1, seriestype=\"bar\")"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "6419cea2",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "bf0eb400",
+      "cell_type": "markdown",
+      "source": [
+        "Теперь результат отображает выполнение условия калорийности при минимальной стоимости рациона."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "d0832b4f",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "a21b5840",
+      "cell_type": "markdown",
+      "source": [
+        "## 3. Условие наличия минимального количества белка"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "3038eae0",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "9350caa9",
+      "cell_type": "markdown",
+      "source": [
+        "Теперь мы зададим дополнительное условие по наличию минимального количества белка в нашем рационе."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "4993a67b",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "0975408f",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 14"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "6572c769",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "796160ae",
+      "cell_type": "markdown",
+      "source": [
+        "Перемножьте столбец <code>Nutrition.\"Protein (g)\"</code> на переменную <code>Portions</code> и сохраните результат в переменной <code>Protein</code>.\r\n"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "c0202c4d",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "ee1d3832",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "0a0aa5f7",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "07947469",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "9db841b5",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 1,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "c73bea0e",
+      "cell_type": "code",
+      "source": [
+        "Protein = Nutrition.\"Protein (g)\" .* Portions"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "b51a0731",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "ab525975",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 15"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "dd34f756",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "d42b5b3c",
+      "cell_type": "markdown",
+      "source": [
+        "Рассчитайте сумму всех элементов вектора <code>Protein</code> и сохраните в переменной <code>TotalProt</code>."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "fb9eb789",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "e017558e",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "05577e68",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "d6b7072e",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "ee26524e",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 1,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "2d3df0c2",
+      "cell_type": "code",
+      "source": [
+        "TotalProt = sum(Protein)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "39d36934",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "3b59d1ae",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 16"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "556fe634",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "51400f05",
+      "cell_type": "markdown",
+      "source": [
+        "Создадим условие, чтобы наш рацион содержал как минимум 100 граммов белка."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "e3cbb9ba",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "2ea42467",
+      "cell_type": "markdown",
+      "source": [
+        "Создайте условие для оптимизационной задачи <code>Opt_ration</code> с помощью команды <code>@constraint()</code>. В команде через запятую укажите имя условия как <code>C2</code> и значение переменной <code>TotalProt</code> больше или равно (>=) 100. "
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "7cbcc13f",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "880573c5",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "843e8ad7",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "bddc874f",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "3ccf5f7a",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 1,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "53e8f77c",
+      "cell_type": "code",
+      "source": [
+        "@constraint(Opt_ration, C2, TotalProt >= 100)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "33f8ca38",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "9f01971b",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 17"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "b433f704",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "9bb1639d",
+      "cell_type": "markdown",
+      "source": [
+        "Решите оптимизационную задачу с заданным условием и просмотрите ее параметры с помощью команд <code>optimize!()</code> и <code>display()</code>."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "f178a05e",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "87f30960",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "1c64a659",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "41364673",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "f8c696d8",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "9a4995af",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "dcc30c7a",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 2,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "1fc0ad87",
+      "cell_type": "code",
+      "source": [
+        "optimize!(Opt_ration)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "4e80dd43",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "d59f9b6a",
+      "cell_type": "code",
+      "source": [
+        "display(Opt_ration)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "312a3c52",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "08011ce9",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 18"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "7b0f41ce",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "d8ffad23",
+      "cell_type": "markdown",
+      "source": [
+        "Получите новые оптимизированные значения порций из переменной <code>Portions</code>. Для этого используйте команду <code>value.()</code>. Обратите внимание, что так как оптимизационная переменная Portions является вектором, нам необходимо добавить <code>.</code> в команде перед скобками. Сохраните результат в переменной <code>Op_portions</code>."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "c7c9d8e7",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "cf25ebe9",
+      "cell_type": "markdown",
+      "source": [
+        "Затем визуализируйте новые результаты. Для этого присоедините вектор с оптимизированными значениями порций <code>Op_portions</code> к изначальной таблице <code>Nutrition</code>, переведите в тип <code>DataFrame</code> и сохраните в новой переменной <code>Prot_port</code>. Затем передайте нашу новую переменную в команду <code>plot</code>."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "26bcaa8d",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "145aa1e1",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "fe2110d1",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "e787f3c6",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "f05dc12d",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "41c829cc",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "1831db9b",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "9a8c8c74",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "cd7aeaec",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 4,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "65942c2c",
+      "cell_type": "code",
+      "source": [
+        "Op_portions = value.(Portions)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "361234d8",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "e4d5d19f",
+      "cell_type": "code",
+      "source": [
+        "Prot_port = DataFrame([Nutrition Op_portions])"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "c71f265f",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "4c52b571",
+      "cell_type": "code",
+      "source": [
+        "plot(Prot_port.Name, Prot_port.x1, seriestype=\"bar\")"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "cfaa3c0e",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "69bd4494",
+      "cell_type": "markdown",
+      "source": [
+        "Теперь результат отображает выполнение условий калорийности и наличия минимального количества белка при минимальной стоимости рациона."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "f6bacafd",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "6909cf79",
+      "cell_type": "markdown",
+      "source": [
+        "## 4. Условие наличия минимального количества жиров"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "696dd462",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "b4c31855",
+      "cell_type": "markdown",
+      "source": [
+        "Зададим дополнительное условие по наличию минимального количества жиров в нашем рационе."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "ec4704fd",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "9611fed3",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 19"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "d05d6870",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "620bff59",
+      "cell_type": "markdown",
+      "source": [
+        "Перемножьте столбец <code>Nutrition.\"Fat (g)\"</code> на переменную <code>Portions</code> и сохраните результат в переменной <code>Fats</code>.\r\n"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "71128bcc",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "180bed11",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "e6575cf2",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "9a1474df",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "246d3b2e",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 1,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "9a59a939",
+      "cell_type": "code",
+      "source": [
+        "Fats = Nutrition.\"Fat (g)\".* Portions"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "5e885b3d",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "04377942",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 20"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "a03cf6a9",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "c15ab0e1",
+      "cell_type": "markdown",
+      "source": [
+        "Рассчитайте сумму всех элементов вектора <code>Fats</code> и сохраните в переменной <code>TotalFats</code>."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "b45f46f0",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "f7ac34e9",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "7f8b6795",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "2b6c15bb",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "b027cb89",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 1,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "f39726c9",
+      "cell_type": "code",
+      "source": [
+        "TotalFats = sum(Fats)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "dd24609d",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "1f6e8bff",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 21"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "3af300ae",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "e35abf07",
+      "cell_type": "markdown",
+      "source": [
+        "Создадим условие, чтобы наш рацион содержал как минимум 70 граммов жиров."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "628ffd43",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "76c62c66",
+      "cell_type": "markdown",
+      "source": [
+        "Создайте условие для оптимизационной задачи <code>Opt_ration</code> с помощью команды <code>@constraint()</code>. В команде через запятую укажите имя условия как <code>C3</code> и значение переменной <code>TotalFats</code> больше или равно (>=) 70."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "e001c473",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "5a9c9657",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "39d35ef0",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "d8681d47",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "8dff7cb3",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 1,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "4c8e2259",
+      "cell_type": "code",
+      "source": [
+        "@constraint(Opt_ration, C3,  TotalFats >= 70)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "b8358a8e",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "0d107213",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 22"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "3618072e",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "f0a6642b",
+      "cell_type": "markdown",
+      "source": [
+        "Решите оптимизационную задачу с заданным условием и просмотрите ее параметры с помощью команд <code>optimize!()</code> и <code>display()</code>."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "07370e30",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "d300ce3f",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "a939697a",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "98dfac30",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "a130b9a6",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "f84b1dcd",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "9d9319eb",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 2,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "4d872b45",
+      "cell_type": "code",
+      "source": [
+        "optimize!(Opt_ration)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "4016b110",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "27606596",
+      "cell_type": "code",
+      "source": [
+        "display(Opt_ration)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "b4fab54c",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "71d208a9",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 23"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "30169674",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "0ffea48e",
+      "cell_type": "markdown",
+      "source": [
+        "Получите новые оптимизированные значения порций из переменной <code>Portions</code>. Для этого используйте команду <code>value.()</code>. Обратите внимание, что так как оптимизационная переменная Portions является вектором, нам необходимо добавить <code>.</code> в команде перед скобками. Сохраните результат в переменной <code>Op_portions</code>."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "136118ec",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "45f8cb60",
+      "cell_type": "markdown",
+      "source": [
+        "Затем визуализируйте новые результаты. Для этого присоедините вектор с оптимизированными значениями порций <code>Op_portions</code> к изначальной таблице <code>Nutrition</code>, переведите в тип <code>DataFrame</code> и сохраните в новой переменной <code>Fats_port</code>. Затем передайте нашу новую переменную в команду <code>plot</code>."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "688c46c4",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "68e73903",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "4f17a752",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "31d14338",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "5a9d9da6",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "f4029fc6",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "62845327",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "9dcf3563",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "4db98646",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 3,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "9da1cc67",
+      "cell_type": "code",
+      "source": [
+        "Op_portions = value.(Portions)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "37380d11",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "eb3cf284",
+      "cell_type": "code",
+      "source": [
+        "Fats_port = DataFrame([Nutrition Op_portions])"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "905dc35a",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "7bb687d8",
+      "cell_type": "code",
+      "source": [
+        "plot(Fats_port.Name, Fats_port.x1, seriestype=\"bar\")"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "5537aaf6",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "3a9494d0",
+      "cell_type": "markdown",
+      "source": [
+        "## 5. Условие наличия минимального количества углеводов"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "c236d79c",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "70764c00",
+      "cell_type": "markdown",
+      "source": [
+        "Зададим последнее дополнительное условие по наличию минимального количества углеводов в нашем рационе."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "d52fccfc",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "90683f05",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 24"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "6963e8a6",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "5b1fbd34",
+      "cell_type": "markdown",
+      "source": [
+        "Перемножьте столбец <code>Nutrition.\"Carbohydrate (g)\"</code> на переменную <code>Portions</code> и сохраните результат в переменной <code>Carbs</code>."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "cc43ba7e",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "a86de430",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "c420e7be",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "d9a052c6",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "087b5e50",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 1,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "28bc681e",
+      "cell_type": "code",
+      "source": [
+        "Carbs = Nutrition.\"Carbohydrate (g)\" .* Portions"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "2511c521",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "9df4c41a",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 25"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "25333a5b",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "0531a8a7",
+      "cell_type": "markdown",
+      "source": [
+        "Рассчитайте сумму всех элементов вектора <code>Carbs</code> и сохраните в переменной <code>TotalCarbs</code>."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "43cd940d",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "f18783c5",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "37abcf60",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "13f6e4f4",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "1d2ae58c",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 1,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "3f7c7f11",
+      "cell_type": "code",
+      "source": [
+        "TotalCarbs = sum(Carbs)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "d4cc061c",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "22b990cb",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 26"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "02160b5a",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "0828d4da",
+      "cell_type": "markdown",
+      "source": [
+        "Создадим условие, чтобы наш рацион содержал как минимум 400 граммов углеводов."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "2805a567",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "3339ccd8",
+      "cell_type": "markdown",
+      "source": [
+        "Создайте условие для оптимизационной задачи <code>Opt_ration</code> с помощью команды <code>@constraint()</code>. В команде через запятую укажите имя условия как <code>C4</code> и значение переменной <code>TotalCarbs</code> больше или равно (>=) 400."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "30dc02d8",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "6c5d0a03",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "4e99e4c2",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "b7cb0b65",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "3ec0a39c",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 1,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "0cdd87fd",
+      "cell_type": "code",
+      "source": [
+        "@constraint(Opt_ration, C4, TotalCarbs >= 400)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "7f1032c3",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "697489f1",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 27"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "849fde35",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "f8604211",
+      "cell_type": "markdown",
+      "source": [
+        "Решите оптимизационную задачу с заданным условием и просмотрите ее параметры с помощью команд <code>optimize!()</code> и <code>display()</code>."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "70206915",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "18809596",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "f8ff3d40",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "c5f1803f",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "c64e0c07",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "f673095c",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "02d8ade1",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 2,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "02c23945",
+      "cell_type": "code",
+      "source": [
+        "optimize!(Opt_ration)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "7a34402b",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "e7cbf5bb",
+      "cell_type": "code",
+      "source": [
+        "display(Opt_ration)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "16821441",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "d88306b5",
+      "cell_type": "markdown",
+      "source": [
+        "## 6. Итоговые результаты "
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "34060dcc",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "b8bf1270",
+      "cell_type": "markdown",
+      "source": [
+        "Получите новые оптимизированные значения порций из переменной <code>Portions</code>. Для этого используйте команду <code>value.()</code>. Обратите внимание, что так как оптимизационная переменная Portions является вектором, нам необходимо добавить <code>.</code> в команде перед скобками. Сохраните результат в переменной <code>Op_portions</code>."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "699f4f5d",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "af348f82",
+      "cell_type": "markdown",
+      "source": [
+        "Визуализируйте итоговый результат оптимизационной задачи. Для этого присоедините вектор с оптимизированными значениями порций <code>Op_portions</code> к изначальной таблице <code>Nutrition</code>, переведите в тип <code>DataFrame</code> и сохраните в новой переменной <code>Total_port</code>. Затем передайте нашу новую переменную в команду <code>plot</code>."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "a45de88e",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "9152bd87",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "31cae01a",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "b01d6379",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "c45dbf6b",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "242c7bf2",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "5d3c3735",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "31a290ad",
+      "cell_type": "markdown",
+      "source": [
+        "Вы можете вывести информацию о решениях и убедиться, что они удовлетворяют заданным вами условиям с помощью команды <code>solution_summary()</code>."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "f744128f",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "af0c3a50",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "14fba39d",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "553d6b93",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "6adf7b38",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 4,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "beb248d0",
+      "cell_type": "code",
+      "source": [
+        "Op_portions = value.(Portions)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "690e7e3f",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "7bc6761a",
+      "cell_type": "code",
+      "source": [
+        "Total_port = DataFrame([Nutrition Op_portions])"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "2a55e1b9",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "a9fe6fda",
+      "cell_type": "code",
+      "source": [
+        "plot(Total_port.Name, Total_port.x1, seriestype=\"bar\")"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "8d094acb",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "c3680178",
+      "cell_type": "code",
+      "source": [
+        "solution_summary(Opt_ration)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "9b5ee0ac",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "d29bcabc",
+      "cell_type": "markdown",
+      "source": [
+        "## Тест для получения сертификата\r\n<noscript><div><img src=\"https://mc.yandex.ru/watch/97656070\" style=\"position:absolute; left:-9999px;\" alt=\"\" /></div></noscript>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "80ad445a",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "f276368d",
+      "cell_type": "markdown",
+      "source": [
+        "<p align=\"center\">\r\n<a style=\"padding: 8px 16px;\r\n    border: 3px blue;\r\n    border-radius: 15px;\r\n    color: white;\r\n    background-color: #1b83ba;\r\n    font-size: 24pt; \r\n    text-decoration: none;\" href=\"https://my.etude.org/link/8ZbqTmayk3dAuH-WExVO_NvngJH4fEDfhU24gwSVcz0uSmRImg2NSrxBXBhE_RiuKlG2ap9F9po7ZrCV3rVVDVAMIQwT4IGWY16JbFiuLWuqvdxlKykLI18E_IKsyPkW4z8XrjyOFZ0Xn_pJd46UjFnJ-WhzK-PT-WNfYmsSXJU=?engee\"\r\n     target=\"_blank\">Пройти тест по разделу >></a>\r\n</p>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "5bd0d7a4",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    }
+  ]
+}
\ No newline at end of file
diff --git "a/04. \320\230\321\202\320\276\320\263\320\276\320\262\321\213\320\271 \320\277\321\200\320\276\320\265\320\272\321\202.ngscript" "b/04. \320\230\321\202\320\276\320\263\320\276\320\262\321\213\320\271 \320\277\321\200\320\276\320\265\320\272\321\202.ngscript"
index 60a9f903a9680bc542a033c0f14eb11b5842ce71..3d06260d2c19407842eb75b1a157f20c2cd1101d 100644
--- "a/04. \320\230\321\202\320\276\320\263\320\276\320\262\321\213\320\271 \320\277\321\200\320\276\320\265\320\272\321\202.ngscript"	
+++ "b/04. \320\230\321\202\320\276\320\263\320\276\320\262\321\213\320\271 \320\277\321\200\320\276\320\265\320\272\321\202.ngscript"	
@@ -1 +1,2503 @@
-{"cells":[{"cell_type":"markdown","source":["# Итоговый проект"],"id":"2f9065cd","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"661f4eee"}},{"cell_type":"markdown","source":["В итоговом проекте мы применим полученные знания для решения оптимизационной задачи, связанной с расчетом дозы радиационного излучения при лечении опухоли головного мозга лучевой терапией."],"id":"870c7ff1","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"cacf8b7f"}},{"cell_type":"markdown","source":["## Введение"],"id":"f002ee00","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"e9bd9714"}},{"cell_type":"markdown","source":["### Лучевая терапия опухоли головного мозга"],"id":"81e2cee1","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"031a3b13"}},{"cell_type":"markdown","source":["Лучевая терапия (радиотерапия) – это один из способов лечения опухолей, при котором воздействие на патологический очаг происходит с помощью ионизирующего излучения. Для воздействия могут применяться различные типы излучения, как волновые, так и корпускулярные (потоки заряженных частиц).\r\n\r\n"],"id":"40508e0f","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"91515f5c"}},{"cell_type":"markdown","source":["![Pikt_6_mozg-01.png](attachment:Pikt_6_mozg-01.png)\r\n"],"id":"db8abff7","attachments":{"Pikt_6_mozg-01.png":{"image":"data:image/png;base64,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"}},"metadata":{"name":"Название 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"}},"metadata":{"name":"Название 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"}},"metadata":{"name":"Название 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Создание оптимизационной задачи\r\n"],"id":"ff5ef756","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"7a8552be"}},{"cell_type":"markdown","source":["Для решения данной задачи мы используем оптимизационную библиотеку <code>JuMP</code> и линейный решатель <code>GLPK</code>. Нам также понадобятся библиотека <code>DataFrames</code> для работы с табличными данными и библиотека <code>Plots</code> для визуализации результатов. Для их использования необходимо выполнить команду ниже:"],"id":"1964ad7f","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"ba39e559"}},{"outputs":[],"cell_type":"code","source":["Pkg.add([\"GLPK\", \"JuMP\"])"],"id":"c0q4ueph","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"ivyexbwn"},"execution_count":0},{"outputs":[],"cell_type":"code","source":["using JuMP, GLPK, DataFrames, Plots;"],"id":"cc8e715d","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"615d1977"},"execution_count":0},{"cell_type":"markdown","source":["### ✏️Задание 1"],"id":"b522882d","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"ddc33e4c"}},{"cell_type":"markdown","source":["Создайте оптимизационную задачу, применив к ней линейный решатель <code>GLPK</code>, и сохраните ее в переменной <code>Rad_opt</code>.      "],"id":"aa067865","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"80623aea"}},{"outputs":[],"cell_type":"code","source":[""],"id":"0ac42120","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"49a7b44b"},"execution_count":0},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"a411092d","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":1,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"3835c043"}},{"outputs":[],"cell_type":"code","source":["Rad_opt = Model(GLPK.Optimizer)"],"id":"2ff443d4","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"bb8196ba"},"execution_count":0},{"cell_type":"markdown","source":["## 2. Зоны радиационного облучения"],"id":"e55740bb","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"00537157"}},{"cell_type":"markdown","source":["В данном примере мы рассчитаем переданную дозу радиационного облучения в двумерном пространстве."],"id":"0dbcd75f","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"a094a3ee"}},{"cell_type":"markdown","source":["Радиационное облучение проводится с двух направлений, по горизонтали и вертикали. На каждом направлении действуют четыре луча. Доза подающегося излучения каждого из лучей может контролироваться по отдельности."],"id":"1d1f6e46","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"2ce2dd5c"}},{"cell_type":"markdown","source":["Таким образом, зона облучения может быть представлена в виде матрицы размером 4x4. "],"id":"f87dddfd","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"4c548101"}},{"cell_type":"markdown","source":["Зона облучения содержит три вида регионов:\r\n* Опухоль – ткань, являющаяся целью лучевой терапии.\r\n* Здоровая ткань – ткань, не затронутая опухолью, долю радиационного излучения на которую мы хотим сократить.\r\n* Спинной мозг – регион, где расположен спинной мозг. Доза радиации, поступающая в регионы спинного мозга, не должна превышать установленный порог в связи с рисками повреждения органа.\r\n"],"id":"cb8e9920","attachments":{},"metadata":{"name":"Название 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"}},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"126885a0"}},{"cell_type":"markdown","source":["Интенсивность луча снижается по мере прохождения сквозь ткани головного мозга. Наибольшая интенсивность в первом квадрате выражена коэффициентом 1. Интенсивность в самом удаленном квадрате выражена коэффициентом 0.25."],"id":"5546629c","attachments":{},"metadata":{"name":"Название 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"}},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"2ff529ee"}},{"cell_type":"markdown","source":["### ✏️Задание 2"],"id":"5aa81e82","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"a08d0e0a"}},{"cell_type":"markdown","source":["Создайте оптимизационную переменную <code>D</code>, определяющую **дозу радиации**, передаваемую каждым из лучей. Используйте <code>D[]</code>, чтобы обозначить необходимое количество элементов переменной <code>D</code> по количеству лучей."],"id":"2c531663","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"01ad21e8"}},{"cell_type":"markdown","source":["Установите нижнюю границу значений переменной <code>D</code> равную <code>0</code>, так как доза радиации не может быть отрицательной, и верхнюю границу равную <code>7</code> как максимальную мощность радиационного луча."],"id":"9a5a9c88","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"c9cdd3f0"}},{"outputs":[],"cell_type":"code","source":[""],"id":"f74973f9","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"46dc8435"},"execution_count":0},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"e198d149","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":1,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"2b843691"}},{"outputs":[],"cell_type":"code","source":["@variable(Rad_opt, D[1:8], lower_bound = 0.0, upper_bound = 7.0)"],"id":"23279b84","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"5974f980"},"execution_count":0},{"cell_type":"markdown","source":["## 3. Формулировка целевой функции "],"id":"a0858a98","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"050ae608"}},{"cell_type":"markdown","source":["Одной из целей оптимизационной задачи является минимизация дозы радиации, полученной не пораженными опухолью регионами."],"id":"9f432268","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"1a50bf76"}},{"cell_type":"markdown","source":["Для этого перемножим коэффициент интенсивности радиационного облучения на каждый элемент переменной <code>D</code> (дозу радиации, передаваемую каждым лучом) в регионах здоровой ткани и спинного мозга, пропуская при этом регионы, пораженные опухолью."],"id":"641604cc","attachments":{},"metadata":{"name":"Название 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"}},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"db636da7"}},{"cell_type":"markdown","source":["### ✏️Задание 3"],"id":"f4f31c3e","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"a2e4457d"}},{"cell_type":"markdown","source":["Повторите вычисления для <code>D5</code>, <code>D6</code>, <code>D7</code> и <code>D8</code>. Создайте вектор <code>d</code>, содержащий все восемь коэффициентов. "],"id":"ac4db899","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"a5cd9da6"}},{"outputs":[],"cell_type":"code","source":[""],"id":"e0555180","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"b2ebac75"},"execution_count":0},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"cef1ce81","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":1,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"b5a319f7"}},{"outputs":[],"cell_type":"code","source":["d = [2.5, 2.25, 0.5, 1.25, 2.0, 1.75, 2.25, 1.25]"],"id":"fb9cdf33","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"2c5a342d"},"execution_count":0},{"cell_type":"markdown","source":["### ✏️Задание 4"],"id":"0b50592e","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"e741628b"}},{"cell_type":"markdown","source":["Перемножьте переменную <code>d</code>, содержащую коэффициенты интенсивности радиационного облучения на не пораженные ткани, и оптимизационную переменную <code>D</code>. Сохраните результат в переменной <code>Dose</code>."],"id":"43323260","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"b15611d3"}},{"outputs":[],"cell_type":"code","source":[""],"id":"414da450","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"3dc89b49"},"execution_count":0},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"11ab69a4","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":1,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"f5a73343"}},{"outputs":[],"cell_type":"code","source":["Dose = d .* D"],"id":"72a4431a","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"22cc8471"},"execution_count":0},{"cell_type":"markdown","source":["### ✏️Задание 5"],"id":"b2470b7b","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"b59ad416"}},{"cell_type":"markdown","source":["Суммируйте значения переменной <code>Dose</code> и сохраните в переменной <code>Total_dose</code>."],"id":"82774938","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"49dd0bcf"}},{"outputs":[],"cell_type":"code","source":[""],"id":"7849c065","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"965f0141"},"execution_count":0},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"8cd9900a","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":1,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"6d4671af"}},{"outputs":[],"cell_type":"code","source":["Total_dose = sum(Dose)"],"id":"aa1b7df2","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"87b412bf"},"execution_count":0},{"cell_type":"markdown","source":["### ✏️Задание 6"],"id":"441be568","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"38583f40"}},{"cell_type":"markdown","source":["Создайте целевую функцию для оптимизационной задачи <code>Rad_opt</code>. Используйте функцию минимизации на переменной <code>Total_dose</code>, содержащей общую дозу радиационного облучения на не пораженные регионы."],"id":"8fc41b58","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"a356fec6"}},{"outputs":[],"cell_type":"code","source":[""],"id":"643bbad3","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"1a54d5d4"},"execution_count":0},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"ecf4f714","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":1,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"032868e3"}},{"outputs":[],"cell_type":"code","source":["@objective(Rad_opt, Min, Total_dose)"],"id":"66a3cee9","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"817b9d70"},"execution_count":0},{"cell_type":"markdown","source":["## 4. Формулировка условий распределения доз радиоактивного излучения"],"id":"6d5e65d8","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"7064f9d5"}},{"cell_type":"markdown","source":["Целевая функция, описанная нами выше, минимизирует радиационное облучение не пораженных участков головного мозга. В то же время для достижения эффективного результата лучевой терапии необходимо сформулировать дополнительные условия."],"id":"efccd958","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"11d3591e"}},{"cell_type":"markdown","source":["### ✏️Задание 7"],"id":"b0c1883a","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"9f2666fb"}},{"cell_type":"markdown","source":["В целях минимизации рисков нанесения повреждений спинному мозгу, вызванных радиационным излучением, необходимо ограничить дозу облучения, передаваемую в регионы его расположения."],"id":"728bab19","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"f4406505"}},{"cell_type":"markdown","source":["Задайте условия оптимизационной задачи <code>Rad_opt</code> для двух регионов расположения спинного мозга, указанных на предыдущей картинке, где общая доза переданной радиации не может превышать <code>2</code>. Дайте условиям имена <code>C1</code> и <code>C2</code>. "],"id":"4f5bb00b","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"fa6cbe95"}},{"cell_type":"markdown","source":["Вы можете проиндексировать регионы по номеру луча <code>(D1-D8)</code> и коэффициенту интенсивности излучения в этом регионе."],"id":"5454056c","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"fffae0cf"}},{"outputs":[],"cell_type":"code","source":[""],"id":"4c14eed4","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"b7ab7962"},"execution_count":0},{"outputs":[],"cell_type":"code","source":[""],"id":"d25acebd","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"586a1268"},"execution_count":0},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Подсказка</span>"],"id":"94fe7c9f","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":4,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"96a61991"}},{"cell_type":"markdown","source":["Не забудьте, что каждый регион может получить облучение с двух направлений. По горизонтали, от лучей D1-D4, и по вертикали, от лучей D5-D8.  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Дайте условиям имена <code>c1-c6</code>."],"id":"45c3a795","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"c9c47305"}},{"outputs":[],"cell_type":"code","source":[""],"id":"e2eb9359","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"4b8133fd"},"execution_count":0},{"outputs":[],"cell_type":"code","source":[""],"id":"92ed2759","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"d6e11632"},"execution_count":0},{"outputs":[],"cell_type":"code","source":[""],"id":"33f63e61","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"abac1e85"},"execution_count":0},{"outputs":[],"cell_type":"code","source":[""],"id":"ae7eeb88","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"976f2581"},"execution_count":0},{"outputs":[],"cell_type":"code","source":[""],"id":"01045555","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"04c213c5"},"execution_count":0},{"outputs":[],"cell_type":"code","source":[""],"id":"8e84e2e2","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"ffeb86b1"},"execution_count":0},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"6196bcdc","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":6,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"e347567e"}},{"outputs":[],"cell_type":"code","source":["@constraint(Rad_opt, c1, D[3]+0.5*D[5] >= 4);"],"id":"43ecce84","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"2310755e"},"execution_count":0},{"outputs":[],"cell_type":"code","source":["@constraint(Rad_opt, c2, 0.75*D[3]+0.5*D[6] >= 4);"],"id":"b051dcde","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"dcefa508"},"execution_count":0},{"outputs":[],"cell_type":"code","source":["@constraint(Rad_opt, c3, 0.75*D[4]+0.25*D[6] >= 4);"],"id":"93498f2e","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"a1ad1d7a"},"execution_count":0},{"outputs":[],"cell_type":"code","source":["@constraint(Rad_opt, c4, 0.5*D[4]+0.25*D[7] >= 4);"],"id":"fe60743e","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"ab527296"},"execution_count":0},{"outputs":[],"cell_type":"code","source":["@constraint(Rad_opt, c5, 0.25*D[2]+0.75*D[8] >= 4);"],"id":"77632d91","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"83f0d419"},"execution_count":0},{"outputs":[],"cell_type":"code","source":["@constraint(Rad_opt, c6, 0.25*D[3]+0.5*D[8] >= 4);"],"id":"060b5bbe","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"48747e6d"},"execution_count":0},{"cell_type":"markdown","source":["## 5. Решение оптимизационной задачи"],"id":"7878b3e0","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"b667a437"}},{"cell_type":"markdown","source":["Теперь решим оптимизационную задачу."],"id":"aa8c6291","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"183e0d30"}},{"cell_type":"markdown","source":["### ✏️Задание 9"],"id":"5908b4ff","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"ec06d99f"}},{"cell_type":"markdown","source":["Решите оптимизационную задачу и просмотрите ее параметры с помощью команд <code>optimize!()</code> и <code>print()</code>."],"id":"aab21b04","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"9e11927f"}},{"cell_type":"markdown","source":["Затем выведите информацию о решениях и убедитесь, что они удовлетворяют заданным вами условиям с помощью команды <code>solution_summary()</code>."],"id":"57c004ff","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"34362516"}},{"outputs":[],"cell_type":"code","source":[""],"id":"5b2ea696","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"1bfd0c8b"},"execution_count":0},{"outputs":[],"cell_type":"code","source":[""],"id":"635bff31","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"6506f41b"},"execution_count":0},{"outputs":[],"cell_type":"code","source":[""],"id":"a2f891ea","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"85793d6b"},"execution_count":0},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"3ccda170","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":3,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"b483d04d"}},{"outputs":[],"cell_type":"code","source":["optimize!(Rad_opt)"],"id":"c7d82f9a","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"ceb0fb8e"},"execution_count":0},{"outputs":[],"cell_type":"code","source":["print(Rad_opt)"],"id":"b1d7ddb5","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"78e97ba4"},"execution_count":0},{"outputs":[],"cell_type":"code","source":["solution_summary(Rad_opt)"],"id":"02e84345","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"252a12df"},"execution_count":0},{"cell_type":"markdown","source":["## 6. Итоговые результаты"],"id":"ff5aa795","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"02a6fbdf"}},{"cell_type":"markdown","source":["### ✏️Задание 10"],"id":"f27bfdb1","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"90f78c06"}},{"cell_type":"markdown","source":["Выведите полученное целевое значение оптимизационной задачи <code>Rad_Opt</code>."],"id":"c019c2d8","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"e243499b"}},{"outputs":[],"cell_type":"code","source":[""],"id":"ccccabae","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"4aa69938"},"execution_count":0},{"cell_type":"markdown","source":["Целевое значение показывает минимальную сумму доз радиационного облучения не пораженных участков головного мозга при выполнении всех заданных условий."],"id":"c9fdedc2","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"f44ac805"}},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"bf269c1e","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":1,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"db98bb33"}},{"outputs":[],"cell_type":"code","source":["objective_value(Rad_opt)"],"id":"c2febc6d","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"c2d277eb"},"execution_count":0},{"cell_type":"markdown","source":["### ✏️Задание 11"],"id":"aeb243d0","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"6d9da3cf"}},{"cell_type":"markdown","source":["Выведите оптимизированные значения доз радиационного излучения, передаваемого лучами. Для этого используйте команду <code>value.()</code>. Сохраните результат в переменной <code>Opt_dose</code>."],"id":"aa2422fa","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"5911d662"}},{"outputs":[],"cell_type":"code","source":[""],"id":"41a0d21d","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"0634089e"},"execution_count":0},{"cell_type":"markdown","source":["#### <span style=\"background-color: #c2ebff\">Решение</span>"],"id":"a1f5f5d1","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":1,"codeOutputHidden":false,"isClosedParagraph":true,"isDisplay":true},"id":"68c801f0"}},{"outputs":[],"cell_type":"code","source":["Opt_dose = value.(D)"],"id":"146fe12d","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":false},"id":"06340a72"},"execution_count":0},{"cell_type":"markdown","source":["## 6. Визуализация результатов"],"id":"f481c85b","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":true,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"f352ba18"}},{"cell_type":"markdown","source":["Визуализируйте результаты по номерам лучей с помощью команды ниже:\r\n\r\n<noscript><div><img src=\"https://mc.yandex.ru/watch/97656070\" style=\"position:absolute; left:-9999px;\" alt=\"\" /></div></noscript>"],"id":"8cfab134","attachments":{},"metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"5e2218ef"}},{"outputs":[],"cell_type":"code","source":["plot(Opt_dose, kind=\"bar\")"],"id":"74d9c1d3","metadata":{"name":"Название секции","engee":{"codeOutputView":"col","isParagraph":false,"outputInfo":{"isExpanded":false,"scrollTop":0},"amountHideCellsInside":0,"codeOutputHidden":false,"isClosedParagraph":false,"isDisplay":true},"id":"f7e6735e"},"execution_count":0}],"nbformat_minor":5,"metadata":{"engee":{},"language_info":{"file_extension":".jl","name":"julia","version":"1.9.3"},"kernelspec":{"name":"ijulia-1.9","display_name":"IJulia 1.9.3","language":"julia"}},"nbformat":4}
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+  "nbformat": 4,
+  "nbformat_minor": 5,
+  "metadata": {
+    "kernelspec": {
+      "name": "ijulia-1.9",
+      "display_name": "IJulia 1.9.3",
+      "language": "julia"
+    },
+    "language_info": {
+      "name": "julia",
+      "file_extension": ".jl",
+      "version": "1.9.3"
+    },
+    "engee": {}
+  },
+  "cells": [
+    {
+      "id": "2f9065cd",
+      "cell_type": "markdown",
+      "source": [
+        "# Итоговый проект"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "661f4eee",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "870c7ff1",
+      "cell_type": "markdown",
+      "source": [
+        "В итоговом проекте мы применим полученные знания для решения оптимизационной задачи, связанной с расчетом дозы радиационного излучения при лечении опухоли головного мозга лучевой терапией."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "cacf8b7f",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "f002ee00",
+      "cell_type": "markdown",
+      "source": [
+        "## Введение"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "e9bd9714",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "81e2cee1",
+      "cell_type": "markdown",
+      "source": [
+        "### Лучевая терапия опухоли головного мозга"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "031a3b13",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "40508e0f",
+      "cell_type": "markdown",
+      "source": [
+        "Лучевая терапия (радиотерапия) – это один из способов лечения опухолей, при котором воздействие на патологический очаг происходит с помощью ионизирующего излучения. Для воздействия могут применяться различные типы излучения, как волновые, так и корпускулярные (потоки заряженных частиц).\r\n\r\n"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "91515f5c",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "db8abff7",
+      "cell_type": "markdown",
+      "source": [
+        "![Pikt_6_mozg-01.png](attachment:Pikt_6_mozg-01.png)\r\n"
+      ],
+      "attachments": {
+        "Pikt_6_mozg-01.png": {
+          "image": 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"
+        }
+      },
+      "metadata": {
+        "id": "d0149aa7",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "9e896792",
+      "cell_type": "markdown",
+      "source": [
+        "При лечении лучевой терапией необходимо целенаправленно передать достаточную дозу радиации в область патологического очага, при этом минимизировав дозу облучения, полученную здоровыми тканями."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "a6d0a6a6",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
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+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "e61c194c",
+      "cell_type": "markdown",
+      "source": [
+        "![Pikt_6_mozg-02.png](attachment:Pikt_6_mozg-02.png)\r\n"
+      ],
+      "attachments": {
+        "Pikt_6_mozg-02.png": {
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+      },
+      "metadata": {
+        "id": "03058816",
+        "name": "Название секции",
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+    {
+      "id": "095966e9",
+      "cell_type": "markdown",
+      "source": [
+        "Формы опухолей и их расположение могут значительно варьироваться, а интенсивность радиоактивного излучения снижается, проходя через ткани головного мозга. "
+      ],
+      "attachments": {},
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+      "cell_type": "markdown",
+      "source": [
+        "В связи с этим, для того чтобы передать необходимую дозу радиации в пораженные участки ткани, минимизировав при этом радиационное поражение здоровых тканей, облучение производится несколькими лучами разных интенсивностей с различных направлений.  "
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "1f1a4e88",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "f78b3840",
+      "cell_type": "markdown",
+      "source": [
+        "![Pikt_6_mozg-03.png](attachment:Pikt_6_mozg-03.png)\r\n"
+      ],
+      "attachments": {
+        "Pikt_6_mozg-03.png": {
+          "image": 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"
+        }
+      },
+      "metadata": {
+        "id": "65cc9cbb",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "ff5ef756",
+      "cell_type": "markdown",
+      "source": [
+        "## 1. Создание оптимизационной задачи\r\n"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "7a8552be",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "1964ad7f",
+      "cell_type": "markdown",
+      "source": [
+        "Для решения данной задачи мы используем оптимизационную библиотеку <code>JuMP</code> и линейный решатель <code>GLPK</code>. Нам также понадобятся библиотека <code>DataFrames</code> для работы с табличными данными и библиотека <code>Plots</code> для визуализации результатов. Для их использования необходимо выполнить команду ниже:"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "ba39e559",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "cc8e715d",
+      "cell_type": "code",
+      "source": [
+        "using JuMP, GLPK, DataFrames, Plots;"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "615d1977",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "b522882d",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 1"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "ddc33e4c",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "aa067865",
+      "cell_type": "markdown",
+      "source": [
+        "Создайте оптимизационную задачу, применив к ней линейный решатель <code>GLPK</code>, и сохраните ее в переменной <code>Rad_opt</code>.      "
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "80623aea",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "0ac42120",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "49a7b44b",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "a411092d",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "3835c043",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 1,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "2ff443d4",
+      "cell_type": "code",
+      "source": [
+        "Rad_opt = Model(GLPK.Optimizer)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "bb8196ba",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "e55740bb",
+      "cell_type": "markdown",
+      "source": [
+        "## 2. Зоны радиационного облучения"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "00537157",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "0dbcd75f",
+      "cell_type": "markdown",
+      "source": [
+        "В данном примере мы рассчитаем переданную дозу радиационного облучения в двумерном пространстве."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "a094a3ee",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "1d1f6e46",
+      "cell_type": "markdown",
+      "source": [
+        "Радиационное облучение проводится с двух направлений, по горизонтали и вертикали. На каждом направлении действуют четыре луча. Доза подающегося излучения каждого из лучей может контролироваться по отдельности."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "2ce2dd5c",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "f87dddfd",
+      "cell_type": "markdown",
+      "source": [
+        "Таким образом, зона облучения может быть представлена в виде матрицы размером 4x4. "
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "4c548101",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "cb8e9920",
+      "cell_type": "markdown",
+      "source": [
+        "Зона облучения содержит три вида регионов:\r\n* Опухоль – ткань, являющаяся целью лучевой терапии.\r\n* Здоровая ткань – ткань, не затронутая опухолью, долю радиационного излучения на которую мы хотим сократить.\r\n* Спинной мозг – регион, где расположен спинной мозг. Доза радиации, поступающая в регионы спинного мозга, не должна превышать установленный порог в связи с рисками повреждения органа.\r\n"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "096a7dea",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "60bd259a",
+      "cell_type": "markdown",
+      "source": [
+        "![Pikt_6_mozg-04.png](attachment:Pikt_6_mozg-04.png)\r\n"
+      ],
+      "attachments": {
+        "Pikt_6_mozg-04.png": {
+          "image": 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"
+        }
+      },
+      "metadata": {
+        "id": "126885a0",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "5546629c",
+      "cell_type": "markdown",
+      "source": [
+        "Интенсивность луча снижается по мере прохождения сквозь ткани головного мозга. Наибольшая интенсивность в первом квадрате выражена коэффициентом 1. Интенсивность в самом удаленном квадрате выражена коэффициентом 0.25."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "ed708918",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "568ad911",
+      "cell_type": "markdown",
+      "source": [
+        "![Pikt_6_mozg-05.png](attachment:Pikt_6_mozg-05.png)\r\n"
+      ],
+      "attachments": {
+        "Pikt_6_mozg-05.png": {
+          "image": 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"
+        }
+      },
+      "metadata": {
+        "id": "2ff529ee",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "5aa81e82",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 2"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "a08d0e0a",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "2c531663",
+      "cell_type": "markdown",
+      "source": [
+        "Создайте оптимизационную переменную <code>D</code>, определяющую **дозу радиации**, передаваемую каждым из лучей. Используйте <code>D[]</code>, чтобы обозначить необходимое количество элементов переменной <code>D</code> по количеству лучей."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "01ad21e8",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "9a5a9c88",
+      "cell_type": "markdown",
+      "source": [
+        "Установите нижнюю границу значений переменной <code>D</code> равную <code>0</code>, так как доза радиации не может быть отрицательной, и верхнюю границу равную <code>7</code> как максимальную мощность радиационного луча."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "c9cdd3f0",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "f74973f9",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "46dc8435",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "e198d149",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "2b843691",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 1,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "23279b84",
+      "cell_type": "code",
+      "source": [
+        "@variable(Rad_opt, D[1:8], lower_bound = 0.0, upper_bound = 7.0)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "5974f980",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "a0858a98",
+      "cell_type": "markdown",
+      "source": [
+        "## 3. Формулировка целевой функции "
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "050ae608",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "9f432268",
+      "cell_type": "markdown",
+      "source": [
+        "Одной из целей оптимизационной задачи является минимизация дозы радиации, полученной не пораженными опухолью регионами."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "1a50bf76",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "641604cc",
+      "cell_type": "markdown",
+      "source": [
+        "Для этого перемножим коэффициент интенсивности радиационного облучения на каждый элемент переменной <code>D</code> (дозу радиации, передаваемую каждым лучом) в регионах здоровой ткани и спинного мозга, пропуская при этом регионы, пораженные опухолью."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "6273b46d",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "feaa3e00",
+      "cell_type": "markdown",
+      "source": [
+        "![Pikt_6_mozg-06.png](attachment:Pikt_6_mozg-06.png)\r\n"
+      ],
+      "attachments": {
+        "Pikt_6_mozg-06.png": {
+          "image": 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"
+        }
+      },
+      "metadata": {
+        "id": "db636da7",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "f4f31c3e",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 3"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "a2e4457d",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "ac4db899",
+      "cell_type": "markdown",
+      "source": [
+        "Повторите вычисления для <code>D5</code>, <code>D6</code>, <code>D7</code> и <code>D8</code>. Создайте вектор <code>d</code>, содержащий все восемь коэффициентов. "
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "a5cd9da6",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "e0555180",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "b2ebac75",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "cef1ce81",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "b5a319f7",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 1,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "fb9cdf33",
+      "cell_type": "code",
+      "source": [
+        "d = [2.5, 2.25, 0.5, 1.25, 2.0, 1.75, 2.25, 1.25]"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "2c5a342d",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "0b50592e",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 4"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "e741628b",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "43323260",
+      "cell_type": "markdown",
+      "source": [
+        "Перемножьте переменную <code>d</code>, содержащую коэффициенты интенсивности радиационного облучения на не пораженные ткани, и оптимизационную переменную <code>D</code>. Сохраните результат в переменной <code>Dose</code>."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "b15611d3",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "414da450",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "3dc89b49",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "11ab69a4",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "f5a73343",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 1,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "72a4431a",
+      "cell_type": "code",
+      "source": [
+        "Dose = d .* D"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "22cc8471",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "b2470b7b",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 5"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "b59ad416",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "82774938",
+      "cell_type": "markdown",
+      "source": [
+        "Суммируйте значения переменной <code>Dose</code> и сохраните в переменной <code>Total_dose</code>."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "49dd0bcf",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "7849c065",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "965f0141",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "8cd9900a",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "6d4671af",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 1,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "aa1b7df2",
+      "cell_type": "code",
+      "source": [
+        "Total_dose = sum(Dose)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "87b412bf",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "441be568",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 6"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "38583f40",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "8fc41b58",
+      "cell_type": "markdown",
+      "source": [
+        "Создайте целевую функцию для оптимизационной задачи <code>Rad_opt</code>. Используйте функцию минимизации на переменной <code>Total_dose</code>, содержащей общую дозу радиационного облучения на не пораженные регионы."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "a356fec6",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "643bbad3",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "1a54d5d4",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "ecf4f714",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "032868e3",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 1,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "66a3cee9",
+      "cell_type": "code",
+      "source": [
+        "@objective(Rad_opt, Min, Total_dose)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "817b9d70",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "6d5e65d8",
+      "cell_type": "markdown",
+      "source": [
+        "## 4. Формулировка условий распределения доз радиоактивного излучения"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "7064f9d5",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "efccd958",
+      "cell_type": "markdown",
+      "source": [
+        "Целевая функция, описанная нами выше, минимизирует радиационное облучение не пораженных участков головного мозга. В то же время для достижения эффективного результата лучевой терапии необходимо сформулировать дополнительные условия."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "11d3591e",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "b0c1883a",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 7"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "9f2666fb",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "728bab19",
+      "cell_type": "markdown",
+      "source": [
+        "В целях минимизации рисков нанесения повреждений спинному мозгу, вызванных радиационным излучением, необходимо ограничить дозу облучения, передаваемую в регионы его расположения."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "f4406505",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "4f5bb00b",
+      "cell_type": "markdown",
+      "source": [
+        "Задайте условия оптимизационной задачи <code>Rad_opt</code> для двух регионов расположения спинного мозга, указанных на предыдущей картинке, где общая доза переданной радиации не может превышать <code>2</code>. Дайте условиям имена <code>C1</code> и <code>C2</code>. "
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "fa6cbe95",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "5454056c",
+      "cell_type": "markdown",
+      "source": [
+        "Вы можете проиндексировать регионы по номеру луча <code>(D1-D8)</code> и коэффициенту интенсивности излучения в этом регионе."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "fffae0cf",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "4c14eed4",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "b7ab7962",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "d25acebd",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "586a1268",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "94fe7c9f",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Подсказка</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "96a61991",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 4,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "d3d8c2a3",
+      "cell_type": "markdown",
+      "source": [
+        "Не забудьте, что каждый регион может получить облучение с двух направлений. По горизонтали, от лучей D1-D4, и по вертикали, от лучей D5-D8.  "
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "28f00efb",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "2fbd827c",
+      "cell_type": "markdown",
+      "source": [
+        "##### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "46bb90e3",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 2,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "d75444ff",
+      "cell_type": "code",
+      "source": [
+        "@constraint(Rad_opt, C1, 0.5*D[2]+0.75*D[7] <= 2);"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "39e45a94",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "d7056c49",
+      "cell_type": "code",
+      "source": [
+        "@constraint(Rad_opt, C2, 0.5*D[3]+0.5*D[7] <= 2);"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "02ed1d33",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "ef906c5d",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 8"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "f69278c2",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "13d3aeb0",
+      "cell_type": "markdown",
+      "source": [
+        "Для успеха лучевой терапии необходимо задать условия передачи минимальной дозы радиационного облучения в регионы, пораженные опухолью."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "320a3f72",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "45c3a795",
+      "cell_type": "markdown",
+      "source": [
+        "Задайте условия оптимизационной задачи <code>Rad_opt</code> для шести регионов, пораженных опухолью, указанных на предыдущей картинке, где общая доза переданной радиации не может быть меньше <code>4</code>. Дайте условиям имена <code>c1-c6</code>."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "c9c47305",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "e2eb9359",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "4b8133fd",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "92ed2759",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "d6e11632",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "33f63e61",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "abac1e85",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "ae7eeb88",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "976f2581",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "01045555",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "04c213c5",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "8e84e2e2",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "ffeb86b1",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "6196bcdc",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "e347567e",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 6,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "43ecce84",
+      "cell_type": "code",
+      "source": [
+        "@constraint(Rad_opt, c1, D[3]+0.5*D[5] >= 4);"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "2310755e",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "b051dcde",
+      "cell_type": "code",
+      "source": [
+        "@constraint(Rad_opt, c2, 0.75*D[3]+0.5*D[6] >= 4);"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "dcefa508",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "93498f2e",
+      "cell_type": "code",
+      "source": [
+        "@constraint(Rad_opt, c3, 0.75*D[4]+0.25*D[6] >= 4);"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "a1ad1d7a",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "fe60743e",
+      "cell_type": "code",
+      "source": [
+        "@constraint(Rad_opt, c4, 0.5*D[4]+0.25*D[7] >= 4);"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "ab527296",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "77632d91",
+      "cell_type": "code",
+      "source": [
+        "@constraint(Rad_opt, c5, 0.25*D[2]+0.75*D[8] >= 4);"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "83f0d419",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "060b5bbe",
+      "cell_type": "code",
+      "source": [
+        "@constraint(Rad_opt, c6, 0.25*D[3]+0.5*D[8] >= 4);"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "48747e6d",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "7878b3e0",
+      "cell_type": "markdown",
+      "source": [
+        "## 5. Решение оптимизационной задачи"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "b667a437",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "aa8c6291",
+      "cell_type": "markdown",
+      "source": [
+        "Теперь решим оптимизационную задачу."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "183e0d30",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "5908b4ff",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 9"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "ec06d99f",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "aab21b04",
+      "cell_type": "markdown",
+      "source": [
+        "Решите оптимизационную задачу и просмотрите ее параметры с помощью команд <code>optimize!()</code> и <code>print()</code>."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "9e11927f",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "57c004ff",
+      "cell_type": "markdown",
+      "source": [
+        "Затем выведите информацию о решениях и убедитесь, что они удовлетворяют заданным вами условиям с помощью команды <code>solution_summary()</code>."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "34362516",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "5b2ea696",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "1bfd0c8b",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "635bff31",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "6506f41b",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "a2f891ea",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "85793d6b",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "3ccda170",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "b483d04d",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 3,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "c7d82f9a",
+      "cell_type": "code",
+      "source": [
+        "optimize!(Rad_opt)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "ceb0fb8e",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "b1d7ddb5",
+      "cell_type": "code",
+      "source": [
+        "print(Rad_opt)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "78e97ba4",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "02e84345",
+      "cell_type": "code",
+      "source": [
+        "solution_summary(Rad_opt)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "252a12df",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "ff5aa795",
+      "cell_type": "markdown",
+      "source": [
+        "## 6. Итоговые результаты"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "02a6fbdf",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "f27bfdb1",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 10"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "90f78c06",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "c019c2d8",
+      "cell_type": "markdown",
+      "source": [
+        "Выведите полученное целевое значение оптимизационной задачи <code>Rad_Opt</code>."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "e243499b",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "ccccabae",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "4aa69938",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "c9fdedc2",
+      "cell_type": "markdown",
+      "source": [
+        "Целевое значение показывает минимальную сумму доз радиационного облучения не пораженных участков головного мозга при выполнении всех заданных условий."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "f44ac805",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "bf269c1e",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "db98bb33",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 1,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "c2febc6d",
+      "cell_type": "code",
+      "source": [
+        "objective_value(Rad_opt)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "c2d277eb",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "aeb243d0",
+      "cell_type": "markdown",
+      "source": [
+        "### ✏️Задание 11"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "6d9da3cf",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "aa2422fa",
+      "cell_type": "markdown",
+      "source": [
+        "Выведите оптимизированные значения доз радиационного излучения, передаваемого лучами. Для этого используйте команду <code>value.()</code>. Сохраните результат в переменной <code>Opt_dose</code>."
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "5911d662",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "41a0d21d",
+      "cell_type": "code",
+      "source": [
+        ""
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "0634089e",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "a1f5f5d1",
+      "cell_type": "markdown",
+      "source": [
+        "#### <span style=\"background-color: #c2ebff\">Решение</span>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "68c801f0",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": true,
+          "amountHideCellsInside": 1,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "146fe12d",
+      "cell_type": "code",
+      "source": [
+        "Opt_dose = value.(D)"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "06340a72",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": false,
+          "isParagraph": false,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false,
+          "outputInfo": {
+            "isExpanded": false,
+            "scrollTop": 0
+          }
+        }
+      }
+    },
+    {
+      "id": "f481c85b",
+      "cell_type": "markdown",
+      "source": [
+        "## 6. Визуализация результатов"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "f352ba18",
+        "name": "Название секции",
+        "engee": {
+          "isDisplay": true,
+          "isParagraph": true,
+          "isClosedParagraph": false,
+          "amountHideCellsInside": 0,
+          "codeOutputView": "col",
+          "codeOutputHidden": false
+        }
+      }
+    },
+    {
+      "id": "8cfab134",
+      "cell_type": "markdown",
+      "source": [
+        "Визуализируйте результаты по номерам лучей с помощью команды ниже:\r\n\r\n<noscript><div><img src=\"https://mc.yandex.ru/watch/97656070\" style=\"position:absolute; left:-9999px;\" alt=\"\" /></div></noscript>"
+      ],
+      "attachments": {},
+      "metadata": {
+        "id": "5e2218ef",
+        "name": "Название секции",
+        "engee": {
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+          "codeOutputView": "col",
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+        }
+      }
+    },
+    {
+      "id": "74d9c1d3",
+      "cell_type": "code",
+      "source": [
+        "plot(Opt_dose, kind=\"bar\")"
+      ],
+      "execution_count": 0,
+      "outputs": [],
+      "metadata": {
+        "id": "f7e6735e",
+        "name": "Название секции",
+        "engee": {
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+          "isParagraph": false,
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+      }
+    }
+  ]
+}
\ No newline at end of file