一道英文的经济学题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^2a.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 yo
问题描述：
一道英文的经济学题
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
答
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