1. A monopolist with cost function c(Q) = faces an inverse demand function given by P(Q) = (a) Find the elasticity of demand with respect to price. (b) Assuming that the monopolist uses MR = MC pricing rule, find his profit maximizing price, p", and output level, q. (e) Find the marginal cost at q" and caleulate the Lerner index. (d) Does the monopolist's market power depend on his cost curve? In particu- lar, does it depend on a? Is your answer surprising?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter14: Monopoly
Section: Chapter Questions
Problem 14.1P
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1. A monopolist with cost function c(Q) = faces an inverse demand function
given by P(Q) =
(a) Find the elasticity of demand with respect to price.
(b) Assuming that the monopolist uses MR = MC pricing rule, find his profit
maximizing price, p", and output level, q™.
(c) Find the marginal cost at q" and calculate the Lerner index.
(d) Does the monopolist's market power depend on his cost curve? In particu-
lar, does it depend on a? Is your answer surprising?
Transcribed Image Text:1. A monopolist with cost function c(Q) = faces an inverse demand function given by P(Q) = (a) Find the elasticity of demand with respect to price. (b) Assuming that the monopolist uses MR = MC pricing rule, find his profit maximizing price, p", and output level, q™. (c) Find the marginal cost at q" and calculate the Lerner index. (d) Does the monopolist's market power depend on his cost curve? In particu- lar, does it depend on a? Is your answer surprising?
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