The Broadway show Hamilton is coming to perform for one night. There are two types of consumers interested in the show- current students and rich alumni. The demand curve for the student market is Q= 300-0.4P with marginal revenue MR= 750-5Q. The demand curve for the alumni market segment is Q=600-0.1P with marginal revenue MR=6000-20Q. If the two types of consumers are in the market, the MR=1800-4Q. The cost function is C(Q)=200Q and the marginal cost of serving either customer is MC=200. 1. Assume the show knows there are different types of consumers but can not tell the difference so they must sell tickets at a single price. At what price do all consumers enter the market? What profit-maximizing price and quantity are the tickets sold at?

Micro Economics For Today
10th Edition
ISBN:9781337613064
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter9: Monopoly
Section: Chapter Questions
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The Broadway show Hamilton is coming to perform for one night. There are two types of consumers interested in the show- current students and rich alumni. The demand curve for the student market is Q= 300-0.4P with marginal revenue MR= 750-5Q. The demand curve for the alumni market segment is Q=600-0.1P with marginal revenue MR=6000-20Q. If the two types of consumers are in the market, the MR=1800-4Q. The cost function is C(Q)=200Q and the marginal cost of serving either customer is MC=200.

1. Assume the show knows there are different types of consumers but can not tell the difference so they must sell tickets at a single price. At what price do all consumers enter the market? What profit-maximizing price and quantity are the tickets sold at?

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