Assume that there are two consumer of a good X. Mr. A has a utility function u (x)10xx2,whileMrs.Bhasautilityfunction u (x)10x2x2 . AB Farmer F, the monopoly producer of good X, cannot distinguish between Mr. A and Mrs. B. However, he can sell different sized bundles, and charge different prices for them. a. What are the utility-ma

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter14: Monopoly
Section: Chapter Questions
Problem 14.4P: Suppose the market for Hula Hoops is monopolized by a single firm. a. Draw the initial equilibrium...
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Assume that there are two consumer of a good X. Mr. A has a utility function

u (x)10xx2,whileMrs.Bhasautilityfunction u (x)10x2x2 . AB

Farmer F, the monopoly producer of good X, cannot distinguish between Mr. A and Mrs. B. However, he can sell different sized bundles, and charge different prices for them.

a. What are the utility-maximizing levels of good X consumption xA and xB for Mr. A and Mrs. B, respectively?

b. Suppose that Farmer F offers the bundles of size xA and xB . What are the prices ( pA , pB ) that he should charge so that Mr. A consumes the xA -sized bundle at price pA and Mrs. B consumes the xB -sized bundle at price pB ?

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