[考題] 101地四 經建行政 經濟學概要
Q17.一完全競爭廠商生產的固定成本為5,000元，當產品價格為20元時，
廠商的均衡產量為2,500單位，利潤為10,000元；由此可知，當價格為17元時，
其極大利潤為何？
(A)為負 (B)為正，但小於2,500 (C)等於2,500元 (D)大於2,500元
Ans:D
想法：π = TR-TVC-TFC
π1 = 10,000 = 20*2,500 - 2,500*AVC - 5,000 求得AVC = 14
則π1 = (20-14) * Q1 - 5,000 = 6Q1 - 5,000
π2 = 17Q2 - 14Q2 - 5,000
= 3Q2 - 5,000
完全競爭市場依照P = MR = MC定價，當P下降時，Q應下降，故Q1>Q2
則π1 = 6Q1 - 5,000 = 10,000
15,000 = 6Q1
假設π2 = A
3Q2 - 5,000 = A 同乘兩倍
6Q2 - 10,000 = 2A
6Q2 = 10,000 + 2A
因為上述所示Q1>Q2 ，則 15,000 > 10,000 + 2A
A < 2,500
這題我解得的答案是B
請問有哪裡解錯了？
麻煩幫忙解答一下謝謝!!!感激不盡
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