a. What price will the monopolist charge for group O? What price will the monopolist charge for group M? What is the monopolist's total profit? For the next questions assume that it has become illegal to charge different prices and thus the monopolist must charge the same price to everybody. b. Write down equations representing (1) aggregate demand and (2) marginal revenue at all possible prices. Find the profit maximizing price and output. Will both O's and M's purchase tours, or only one or the

Microeconomic Theory
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ISBN:9781337517942
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Chapter14: Monopoly
Section: Chapter Questions
Problem 14.5P
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2. A monopolist sells tours of a stately Montana home to two groups of consumers,
Montanans (M) and others (O). The monopolist knows the total demand for
group O, which is Qo=100-2P, and the total demand for group M, which is QM
=80-2P. The monopolist is able to identify consumers by inspecting their IDs and
can thus apply third-degree price discrimination. The monopolist's cost function
is C(G) = 4Q + 20.
a. What price will the monopolist charge for group O? What price will the
monopolist charge for group M? What is the monopolist's total profit?
For the next questions assume that it has become illegal to charge different
prices and thus the monopolist must charge the same price to everybody.
b. Write down equations representing (1) aggregate demand and (2)
marginal revenue at all possible prices. Find the profit maximizing price
and output. Will both O's and M's purchase tours, or only one or the
other?
c. Suppose that the monopolist charges $44. What is total consumer surplus
at this price?
Transcribed Image Text:2. A monopolist sells tours of a stately Montana home to two groups of consumers, Montanans (M) and others (O). The monopolist knows the total demand for group O, which is Qo=100-2P, and the total demand for group M, which is QM =80-2P. The monopolist is able to identify consumers by inspecting their IDs and can thus apply third-degree price discrimination. The monopolist's cost function is C(G) = 4Q + 20. a. What price will the monopolist charge for group O? What price will the monopolist charge for group M? What is the monopolist's total profit? For the next questions assume that it has become illegal to charge different prices and thus the monopolist must charge the same price to everybody. b. Write down equations representing (1) aggregate demand and (2) marginal revenue at all possible prices. Find the profit maximizing price and output. Will both O's and M's purchase tours, or only one or the other? c. Suppose that the monopolist charges $44. What is total consumer surplus at this price?
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