Before social media became​ popular, the monopolist was unable to acquire enough data to price discriminate in this market. If the monopolist cannot price​ discriminate, it must treat the two segments above as a single market. The resulting market demand curve is​ piecewise:   P(Q)=    252 − Q for 0 ≤ Q ≤ 84 210 − 1/2Q for Q > 84   What are the​ profit-maximizing price and quantity under the uniform pricing​ model? ​ [Hint: you'll still need to use the monopolist rule but will need to determine the portion of the demand curve intersected by the marginal cost​ curve.]   Equilibrium​ quantity ? ​(Round your answer to two decimal places and use it in subsequent​ calculations, including the price​ calculation.)   Equilibrium​ price? ​(Round your answer to two decimal places and use it in subsequent​ calculations.)   What is the consumer surplus for the market under uniform​ pricing? ​ [Hint: I strongly suggest graphing the piecewise function. This is a kinked demand curve and the consumer surplus area is not a simple​ triangle.]   Consumer​ surplus ? ​(Round your answer to two decimal​ places.)

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter15: Imperfect Competition
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Problem 15.1P
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Part​ B: Non-Discriminating Case.
 
Before social media became​ popular, the monopolist was unable to acquire enough data to price discriminate in this market. If the monopolist cannot price​ discriminate, it must treat the two segments above as a single market. The resulting market demand curve is​ piecewise:
 
P(Q)=   
252 − Q for 0 ≤ Q ≤ 84
210 − 1/2Q for Q > 84
 
What are the​ profit-maximizing price and quantity under the uniform pricing​ model? ​ [Hint: you'll still need to use the monopolist rule but will need to determine the portion of the demand curve intersected by the marginal cost​ curve.]
 
Equilibrium​ quantity ? ​(Round your answer to two decimal places and use it in subsequent​ calculations, including the price​ calculation.)
 
Equilibrium​ price? ​(Round your answer to two decimal places and use it in subsequent​ calculations.)
 
What is the consumer surplus for the market under uniform​ pricing? ​ [Hint: I strongly suggest graphing the piecewise function. This is a kinked demand curve and the consumer surplus area is not a simple​ triangle.]
 
Consumer​ surplus ? ​(Round your answer to two decimal​ places.)
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