78高考 - 經濟
By Megan
at 2015-05-31T16:10
at 2015-05-31T16:10
Table of Contents
設某一廠商其產品的市場需求函數為P=200-4Q,平均成本函數為
C=20+2Q,P為價格,C為平均成本,Q為銷售量,試求其均衡產量
或銷售量及總利潤為若干?
SOL:TR=P*Q=(200-4Q)*Q=200Q-4Q^2
TC=AC*Q=(20+2Q)*Q=20Q+2Q^2
MR=dTR/dQ=200-8Q
MC=dTC/dQ=20+4Q
MR=MC
=>200-8Q=20+4Q
=>180=12Q
=>Q=15代入P=200-4Q,得P=140
總利潤=200Q-4Q^2-(20Q+2Q^2)
=200*15-4*15^2-20*15-2*15^2
=3000-900-300-450
=1350
--
C=20+2Q,P為價格,C為平均成本,Q為銷售量,試求其均衡產量
或銷售量及總利潤為若干?
SOL:TR=P*Q=(200-4Q)*Q=200Q-4Q^2
TC=AC*Q=(20+2Q)*Q=20Q+2Q^2
MR=dTR/dQ=200-8Q
MC=dTC/dQ=20+4Q
MR=MC
=>200-8Q=20+4Q
=>180=12Q
=>Q=15代入P=200-4Q,得P=140
總利潤=200Q-4Q^2-(20Q+2Q^2)
=200*15-4*15^2-20*15-2*15^2
=3000-900-300-450
=1350
--
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經濟
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By Rosalind
at 2015-06-02T12:21
at 2015-06-02T12:21
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