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pei asked in 教育與參考考試 · 1 decade ago

經濟學 計算題一題10點!!

一家餐廳提供一些服務。其固定成本每年為$600000,邊際成本每年為$63,需求曲線和邊際收益關係如下:

P=$130-$0.000125Q

MR=$130-$0.00025Q

1)請計算 產出、價格、總收益及在最大收益時的總利潤

2)請計算 產出、價格、總收益及在最大利潤時的總利潤

題目原文如下:

Restaurant Marketing Services, Inc., offers affinity card marketing monitoring systems to fine dining establishments nationwide. Fixed costs are $600000 per year. Sponsoring restaurants are paid $60 for each card sold, and card printing and distribution costs are $3 per card. This means that RMS's marginal costs are $63 per card. Based on recent sales experience, the estimated demand curve and marginal revenue relation for are:

P=$130-$0.000125Q

MR=$130-$0.00025Q

1)Calculate output, price, total revenue, and total profit at the revenue-maximizing activity level.

2)Calculate output, price, total revenue, and total profit at the profit-maximizing activity level.

煩請列式與解說答案

謝謝~

1 Answer

Rating
  • 1 decade ago
    Favorite Answer

    不曉得 $ 是什麼意思,我自動忽略

    1.

    Max. TR → MR = 0 ( 就是邊際收益不會再增加 )

    MR = 130- 0.00025Q = 0 → Q = 520000

    Q 代入需求,得 P = 130 - 0.000125.520000 = 65

    TR = P.Q = 520000.65 = 33800000

    π= TR - TC = 33800000 - 600000 - 63.520000 = 440000

    2.

    利潤最大條件 → MR = MC,所以

    130- 0.00025Q = 63 → Q = 268000

    Q 代入需求,得 P = 130 - 0.000125.268000 = 96.5

    TR = P.Q = 268000.96.5 = 25862000

    π= TR - TC = 25862000 - 600000 - 63.268000 = 8378000

    Source(s): ME
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