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Консультация № 190395
09.01.2017, 21:30
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Здравствуйте! Прошу помощи в следующем вопросе:
Заранее спасибо!
Заранее спасибо!
Обсуждение
10.01.2017, 16:52
общий
это ответ
Здравствуйте, ms.nastasya2512!
Потребитель тратит 24 рублей в месяц на приобретение двух товаров. Цена товара Х - 4 руб, а товара Y - 6 руб. Задана функция полезности потребителя TU = ХY.
Уравнение бюджетной линии:
J = PxX + PyY
24 = 4X + 6Y
Предельная полезность товаров:
Mux = dU/dx = d(4xy)/dx = 4y
Muy = dU/dy = d(4xy)/dy = 4x
Оптимум потребителя достигается при равенстве:
Mux / Muy = Px / Py
Mux / Muy = 4 / 6 = 2/3
Предельная норма замещения
MRSxy = Mux / Muy = 2/3
Выразим y через x.
Mux / Muy = y / x = 2/3
y = 2/3x
Подставим в уравнение бюджетной линии:
24= 4x + 6*2/3x = 4x + 4x
Откуда X = 3; Y = 2/3x = 2
Проверка: 4 х 3 + 6 х 2 = 12 + 12 = 24.
Потребитель тратит 24 рублей в месяц на приобретение двух товаров. Цена товара Х - 4 руб, а товара Y - 6 руб. Задана функция полезности потребителя TU = ХY.
Уравнение бюджетной линии:
J = PxX + PyY
24 = 4X + 6Y
Предельная полезность товаров:
Mux = dU/dx = d(4xy)/dx = 4y
Muy = dU/dy = d(4xy)/dy = 4x
Оптимум потребителя достигается при равенстве:
Mux / Muy = Px / Py
Mux / Muy = 4 / 6 = 2/3
Предельная норма замещения
MRSxy = Mux / Muy = 2/3
Выразим y через x.
Mux / Muy = y / x = 2/3
y = 2/3x
Подставим в уравнение бюджетной линии:
24= 4x + 6*2/3x = 4x + 4x
Откуда X = 3; Y = 2/3x = 2
Проверка: 4 х 3 + 6 х 2 = 12 + 12 = 24.
Форма ответа
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