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Консультация № 195915
27.06.2019, 18:34
0.00 руб.
02.07.2019, 10:38
1
3
1
Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Построить математическую модель линейной оптимизационной задачи и решить ее геометрическим способом.
Построить математическую модель линейной оптимизационной задачи и решить ее геометрическим способом.
Прикрепленные файлы:
Обсуждение
02.07.2019, 09:43
общий
Предлагаю продлить срок действия консультации на пять суток и перенести её в раздел "Исследование операций".
Об авторе:
Facta loquuntur.
Facta loquuntur.
02.07.2019, 10:39
общий
Обратите внимание на эту консультацию, перенесенную из другого раздела
Об авторе:
"Если вы заметили, что вы на стороне большинства, —
это верный признак того, что пора меняться." Марк Твен
"Если вы заметили, что вы на стороне большинства, —
это верный признак того, что пора меняться." Марк Твен
04.07.2019, 09:35
общий
это ответ
Здравствуйте, Adelina!
Воспользуемся методикой решения подобных задач, изложенной на страницах 116 -- 118 [1].
Обозначим через
количество продукции вида 
через 
-- количество продукции вида 
Тогда, в соответствии с условием задачи, требуется достичь максимального значения функции
при следующих ограничениях:
Многоугольник решений показан залитым серым цветом на рисунке в прикреплённом файле (он построен мной с использованием Интернет-ресурса www.yotx.ru и доработан в редакторе Paint.net). Из графика видно, что линия уровня
двигаясь в положительном направлении вектора 
покидает многоугольник решений в точке, находящейся на пересечении прямых 
и 
то есть в точке 
Следовательно, 
при этом 
(р.).
Литература
1. Черненко В. Д. Высшая математика в примерах и задачах. В 3 т. Т. 3. -- СПб.: Политехника, 2003. -- 476 с.
Воспользуемся методикой решения подобных задач, изложенной на страницах 116 -- 118 [1].
Обозначим через
количество продукции вида через -- количество продукции вида Тогда, в соответствии с условием задачи, требуется достичь максимального значения функциипри следующих ограничениях:
Многоугольник решений показан залитым серым цветом на рисунке в прикреплённом файле (он построен мной с использованием Интернет-ресурса www.yotx.ru и доработан в редакторе Paint.net). Из графика видно, что линия уровня
двигаясь в положительном направлении вектора покидает многоугольник решений в точке, находящейся на пересечении прямых и то есть в точке Следовательно, при этом (р.).Литература
1. Черненко В. Д. Высшая математика в примерах и задачах. В 3 т. Т. 3. -- СПб.: Политехника, 2003. -- 476 с.
Прикрепленные файлы:
Об авторе:
Facta loquuntur.
Facta loquuntur.
Форма ответа
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