Consider a market with a demand curve P = 500 − 5Q which is being supplied by a monopolist. The cost of production of the monopolist is given by C(Q) = 5Q2 2 . P and Q are the price and quantity of the entire market. (a) Find the expression of total and marginal revenue, and marginal cost. Draw the demand, MR and MC curves in a clearly labelled diagram. (b) Find out how much output will be sold by the monopolist in equilibrium? What price she will charge? How much profit will be earned by her. (c) What would be the equilibrium price and quantity if the market were served by a perfectly competitive firms instead?

Micro Economics For Today
10th Edition
ISBN:9781337613064
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter9: Monopoly
Section: Chapter Questions
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Consider a market with a demand curve P = 500 − 5Q which is being supplied by a monopolist. The cost of production of the monopolist is given by C(Q) = 5Q2 2 . P and Q are the price and quantity of the entire market. (a) Find the expression of total and marginal revenue, and marginal cost. Draw the demand, MR and MC curves in a clearly labelled diagram. (b) Find out how much output will be sold by the monopolist in equilibrium? What price she will charge? How much profit will be earned by her. (c) What would be the equilibrium price and quantity if the market were served by a perfectly competitive firms instead? (d) Find the consumer and producer surplus in competitive and monopoly markets? Find and explain the dead-weight loss due to monopoly operation.
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