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Консультация № 196745
21.10.2019, 14:30
0.00 руб.
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1
Здравствуйте! У меня возникли сложности с таким вопросом:
Будьте добры, помогите пожалуйста решить задачу
Используя графический метод, найти глобальные экстремумы функции:
Z = (X1 – 2)^2 + (X2 – 3)^2 при ограничениях :
X1^2 + x2^2≤16
X1.X2≥0 .
Буду очень признателен!!
Будьте добры, помогите пожалуйста решить задачу
Используя графический метод, найти глобальные экстремумы функции:
Z = (X1 – 2)^2 + (X2 – 3)^2 при ограничениях :
X1^2 + x2^2≤16
X1.X2≥0 .
Буду очень признателен!!
Обсуждение
24.10.2019, 23:12
общий
это ответ
Здравствуйте, qazxswedc!
Решим задачу, ориентируясь на пример 4 здесь. В Вашем случае областью допустимых решений является часть круга с радиусом
расположенная в первой четверти координатной плоскости 
Линиями уровня будут окружности с центром в точке 
(рисунок находится в прикреплённом файле).
Глобальный максимум функции
достигается либо в точке 
либо в точке 
которые являются наиболее удалёнными от точки 
точками области допустимых значений. При этом
Глобальный минимум функции достигается в самой точке 
которая принадлежит области допустимых значений. При этом
Источники информации
Интернет-ресурс http://studopedia.org/1-10934.html
Решим задачу, ориентируясь на пример 4 здесь. В Вашем случае областью допустимых решений является часть круга с радиусом
расположенная в первой четверти координатной плоскости Линиями уровня будут окружности с центром в точке (рисунок находится в прикреплённом файле).Глобальный максимум функции
достигается либо в точке либо в точке которые являются наиболее удалёнными от точки точками области допустимых значений. При этом Глобальный минимум функции
достигается в самой точке которая принадлежит области допустимых значений. При этомИсточники информации
Интернет-ресурс http://studopedia.org/1-10934.html
Прикрепленные файлы:
Об авторе:
Facta loquuntur.
Facta loquuntur.
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