Consider a price discriminating monopolist facing two markets for its good. The demand equations faced by the monopolist and its cost function are: Market 1: Q1 = 55– PI Market 2: Q2 = 70 – 2P2 Cost Function: TC(Q) = 100 + 5Q, where Q = Q1 +Q2. a. If the monopolist can maintain the separation between the two markets, calculate the optimal output level that the firm should produce for each market to maximize profits. b. Determine the prices the monopoly should charge in each market, and calculate the profit of the monopoly. c. Construct a graph to represent your findings in item #3.a and #3.b.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter14: Monopoly
Section: Chapter Questions
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Consider a price discriminating monopolist facing two markets for its good. The denmand
equations faced by the monopolist and its cost function are:
Market 1: Q1 = 55 – PI
Market 2: Q2 = 70 – 2P2
Cost Function: TC(Q) = 100 + 5Q, where Q =Q1+Q2.
a. If the monopolist can maintain the separation between the two markets, calculate the
optimal output level that the firm should produce for each market to maximize profits.
b. Determine the prices the monopoly should charge in each market, and calculate the
profit of the monopoly.
c. Construct a graph to represent your findings in item #3.a and #3.b.
d. If the monopolist cannot maintain the separation between the two markets, calculate
the optimal output level and determine the price will this be sold?
Transcribed Image Text:Consider a price discriminating monopolist facing two markets for its good. The denmand equations faced by the monopolist and its cost function are: Market 1: Q1 = 55 – PI Market 2: Q2 = 70 – 2P2 Cost Function: TC(Q) = 100 + 5Q, where Q =Q1+Q2. a. If the monopolist can maintain the separation between the two markets, calculate the optimal output level that the firm should produce for each market to maximize profits. b. Determine the prices the monopoly should charge in each market, and calculate the profit of the monopoly. c. Construct a graph to represent your findings in item #3.a and #3.b. d. If the monopolist cannot maintain the separation between the two markets, calculate the optimal output level and determine the price will this be sold?
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