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Консультация № 185684
26.03.2012, 22:42
73.79 руб.
0
1
1
Здравствуйте! У меня возникли сложности с таким вопросом:
осталось 2 задачки потипу https://rfpro.ru/question/185627 и https://rfpro.ru/question/185628
1) Решить графическим методом, добавить условие неотрицательности переменных х1, х2 [$8805$] 0
7x1 + 6x2[$8805$] 168
14x1 + 6x2[$8805$] 210
7x1 - 12x2[$8804$] 42
Z1 = 7x1 + 6x2 [$8594$] max
Z2 = 7x1 + 6x2 [$8594$] min
2) Решить симплексным методом, используя метод искуственного базиса и симплексные таблицы. Во всех примерах добавить условие неотриц. переменных х1 и х2 [$8805$] 0
28x1 + 6x2[$8805$] 378
-14x1 + 6x2[$8804$] -126
7x1 + 6x2 [$8804$] 252
Z1 = 14x1 + 6x2 [$8594$] max
Z2 = -35x1+18x2 [$8594$] min
Приложение:
осталось 2 задачки потипу https://rfpro.ru/question/185627 и https://rfpro.ru/question/185628
1) Решить графическим методом, добавить условие неотрицательности переменных х1, х2 [$8805$] 0
7x1 + 6x2[$8805$] 168
14x1 + 6x2[$8805$] 210
7x1 - 12x2[$8804$] 42
Z1 = 7x1 + 6x2 [$8594$] max
Z2 = 7x1 + 6x2 [$8594$] min
2) Решить симплексным методом, используя метод искуственного базиса и симплексные таблицы. Во всех примерах добавить условие неотриц. переменных х1 и х2 [$8805$] 0
28x1 + 6x2[$8805$] 378
-14x1 + 6x2[$8804$] -126
7x1 + 6x2 [$8804$] 252
Z1 = 14x1 + 6x2 [$8594$] max
Z2 = -35x1+18x2 [$8594$] min
Приложение:
Обсуждение
27.03.2012, 11:36
общий
это ответ
Здравствуйте, Елизавета!
Задача 1
Первое неравенство - полуплоскость выше прямой x2=28-7/6x1
Второе - полуплоскость выше прямой х2=35-7/3x1
Третье - полуплоскость выше прямой х2= 7/12x1-3,5
Условия неотрицательности указывают на первую четверть координатной плоскости.
В итоге получим неограниченную область (залита серым цветом).
Строим вектор с координатами (7;6) - коэффициенты возле х1 и х2 в z1 и z2 и прямую, перпендикулярную к нему.
Мысленно двигая прямую в направлении от начала вектора к концу, видим, что никогда не достигнем конца области: z1 неограничена сверху, то есть z1max=бесконечность.
Мысленно двигая прямую в направлении от конца вектора к началу, видим, что последний раз она соприкоснется с областью по отрезку синей прямой, каждая точка которого будет точкой минимума.
Например, х1=12, х2=14
z2min=7*12+6*14=168
Задача 1
Первое неравенство - полуплоскость выше прямой x2=28-7/6x1
Второе - полуплоскость выше прямой х2=35-7/3x1
Третье - полуплоскость выше прямой х2= 7/12x1-3,5
Условия неотрицательности указывают на первую четверть координатной плоскости.
В итоге получим неограниченную область (залита серым цветом).
Строим вектор с координатами (7;6) - коэффициенты возле х1 и х2 в z1 и z2 и прямую, перпендикулярную к нему.
Мысленно двигая прямую в направлении от начала вектора к концу, видим, что никогда не достигнем конца области: z1 неограничена сверху, то есть z1max=бесконечность.
Мысленно двигая прямую в направлении от конца вектора к началу, видим, что последний раз она соприкоснется с областью по отрезку синей прямой, каждая точка которого будет точкой минимума.
Например, х1=12, х2=14
z2min=7*12+6*14=168
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