[开课学院]: 商学院 [开课系所]: 经济系 [课程名称]: 个体经济学 [老师名称]: 利菊秀老师 [开课学期]: 96-2 [类型]: 96年第二学期期中考 1.(20%)A monopolist has two factories, for which marginal cost functions are given by: Factory #1: MC1(Q1)=10+5Q1 Factory #2: MC2(Q2)=50+Q2 The firm faces the following demand curve: P=500-5Q,Where Q is total output, Q=Q1+Q2 (a) Please derive the marginal cost function for the monopolist's total output(MCt) (b) Calculate the values of Q1,Q2,Qt,and P the Maximize profit 2.(30%) Suppose that the market demand function is P=100-Q and the market supply function(or the marginal cost function)is P=20+2Q (a) Please derive the perfectly competitive industry equilibrium to get the equilibrium price and quantity. Then calculate the values of consumer surplus and producer surplus (b) Please derive the monopoly industry equilibrium to get the profit-maximizing price and quantity. Then calculate the values of consumer surplus and producer surplus. (c) Please compare the results under these two markets,what's the deadweight loss under monopoly industry? 3.(20%) Assume that a monopolist has a marginal cost function MC=20Q The market demand function is P=100-q (a) Find the profit-maximizing output and price for this monopolist. (b) Calculate the price elasticity of demand at the profit-maximizing output and price.Also calculate the marginal cost at the profit-maximizing output.Please verify"inverse elasticity pricing rule". 4.(30%) Assume that the apple industry is a perfectly competitive industry.Firm A is a perfectly competitive firm with short-run total cost function STC(C)=100+Q",where 100 is a fixes cost. Suppose the prevailing market price of the apple is $20 per unit. (a) How many apples would be produced by the firm A to maximize profit? (b) What is the firm A profit? Does firm A would profuce in the short run?Why? (c) What is the short-run supply curve for the firm A? 注1 第四题的 STC函数中 是100+Q的平方 --

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