A monopolist faces a demand curve, Q=100-2P and has a constant marginal cost of 10. It has no fixed costs. a. If the monopolist can only charge a single price, it should charge P*= v and produce Q*= v units. b. If the monopolist can charge a separate price for any units sold beyond Q*, then the price of these additional units will lead to additional profit if it is any price in the range of v. A monopolist that charges a separate price for additional units is practicing v price discrimination.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter14: Monopoly
Section: Chapter Questions
Problem 14.1P
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A monopolist faces a demand curve, Q=100-2P and has a constant marginal cost of 10. It has no fixed costs.
a. If the monopolist can only charge a single price, it should charge P*=
v and produce Q*=
v units.
b. If the monopolist can charge a separate price for any units sold beyond Q*, then the price of these additional units will lead to additional profit if it is any price in the range of
v.A monopolist that charges a separate price for additional units is practicing
v price discrimination.
c. Now suppose that the monopolist can perfectly price discriminate. What quantity will it produce?
d. In terms of social welfare, total surplus will be highest in the pricing scheme described in part
v and lowest in the pricing scheme described in part
e. In terms of profitability, profit will be highest in the pricing scheme described in part
v and lowest in the priceing scheme described in part
Transcribed Image Text:A monopolist faces a demand curve, Q=100-2P and has a constant marginal cost of 10. It has no fixed costs. a. If the monopolist can only charge a single price, it should charge P*= v and produce Q*= v units. b. If the monopolist can charge a separate price for any units sold beyond Q*, then the price of these additional units will lead to additional profit if it is any price in the range of v.A monopolist that charges a separate price for additional units is practicing v price discrimination. c. Now suppose that the monopolist can perfectly price discriminate. What quantity will it produce? d. In terms of social welfare, total surplus will be highest in the pricing scheme described in part v and lowest in the pricing scheme described in part e. In terms of profitability, profit will be highest in the pricing scheme described in part v and lowest in the priceing scheme described in part
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