一道英文的经济学题
AfirmservingamarketoperateswithtotalvariablecostTVC=Q^2.Thecorrespondingmarginalcosti...
A firm serving a market operates with total variable cost TVC = Q^2. The corresponding marginal cost is MC = 2Q. The Firm faces a market demand represented by P = 40 - 3Q^2
a. suppose the firm sets the uniform price that maximizes profit. What would that price be?
b. Suppose the firm were able to act as a perfect fist degree price discriminating monopolist. How much would the firm's profit increase compared with the uniform profit maximizing price you found in (a)?
中文回答就行，我就是想知道该怎么做，特别是第二小题
题打错了，后面应该是P=40-3Q 展开
a. suppose the firm sets the uniform price that maximizes profit. What would that price be?
b. Suppose the firm were able to act as a perfect fist degree price discriminating monopolist. How much would the firm's profit increase compared with the uniform profit maximizing price you found in (a)?
中文回答就行，我就是想知道该怎么做，特别是第二小题
题打错了，后面应该是P=40-3Q 展开
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a R=PQ=40 Q- 3Q^3
MR=40-9Q^2
MR=MC
40-9Q^2= 2Q
Q=2，P=28，R=56，TVC=4，PROFIT=52
b 一级价格歧视
R=(40 - 3Q^2)在0到Q上的积分
MR=40 - 3Q^2=MC=2Q
Q=10/3，P0=20/3
R=(40 - 3Q^2)在0到10/3上的积分=2600/27
TVC=100/9，PROFIT=2300/27约等于85
MR=40-9Q^2
MR=MC
40-9Q^2= 2Q
Q=2，P=28，R=56，TVC=4，PROFIT=52
b 一级价格歧视
R=(40 - 3Q^2)在0到Q上的积分
MR=40 - 3Q^2=MC=2Q
Q=10/3，P0=20/3
R=(40 - 3Q^2)在0到10/3上的积分=2600/27
TVC=100/9，PROFIT=2300/27约等于85
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不好意思，题打错了，后面应该是P=40-3Q，能帮我再做一下吗？第二小题能具体点吗？就是一步一步地来，谢谢了
追答
a R=PQ=40 Q- 3Q^2
MR=40-6Q
MR=MC
40-6Q= 2Q
Q=5，P=25，R=125，TVC=25，PROFIT=100
b 一级价格歧视
R=(40 - 3Q)在0到Q上的积分
MR=40 - 3Q=MC=2Q
Q=8，P0=16
R=(40 - 3Q)在0到8上的积分=224
TVC=64，PROFIT=160
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