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1FreeMad1
1FreeMad1
06.04.2021 16:03 •  Другие предметы

Функция общих издержек фирмы TC=2q^3 -3q^2 +400q+5000 и валового дохода TR=4000q-33q^2 Определить

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Ответ:
simono627122va
simono627122va
06.04.2021
PF =TR-TC,
PF=4000q-33q2-(2q3-3q2+400q+5000)=-2q2-30q2+3600q-5000. Рассчитайте, при каких q первая производная функции равна нулю. PF' =-6q2-60q + 3600 = 0; PF' =-6(q2 + 10q - 600) = 0; PF' =-6(q + 30) (q - 20) = 0; qi = -30 ; q2 = 20.
Первое   значение   (qi)   отбрасываем,   так   как   отрицательное   значение производства не имеет экономического смысла.
Подставим значение q2 во вторую производственную функции прибыли. PF" =-12q-60
PF " (20) = -12(20) - 60 = -300 < 0 т.е PF max. Фирма максимизирует прибыль при q = 20 PF = -2(20)3 - 30(20)2 + 3600(20) - 5000 = 39000.
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Ответ:
zhanara3109
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06.04.2021
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06.04.2021
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4,5(56 оценок)
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