A monopolist faces market demand Q = 500 - 10 P, and has a marginal cost curve equal to MC = Q/10 - 10. I have computed the marginal revenue curve fro you which is given by MR = 50 - Q/5. If the firm is a single price monopolist, find the profit maximizing price and quantity and the resulting profit to the monopoly. What is the socially optimal price and quantity? What is the firm's profit at this price and quantity? Show (1) and (2) on a graph. Calculate consumer surplus (CS) and producer surplus (PS) and total surplus for parts (1) and (2). Show CS, PS, and DWL on the graph. Calculate the DWL due to monopoly. If the firm engages in first degree price discrimination, find the profit maximizing quantity and the resulting profit to the monopoly.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter14: Monopoly
Section: Chapter Questions
Problem 14.1P
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A monopolist faces market demand Q = 500 - 10 P, and has a marginal cost curve equal to MC = Q/10 - 10. I have computed the marginal revenue curve fro you which is given by MR = 50 - Q/5.

If the firm is a single price monopolist, find the profit maximizing price and quantity and the resulting profit to the monopoly.
What is the socially optimal price and quantity? What is the firm's profit at this price and quantity?
Show (1) and (2) on a graph.
Calculate consumer surplus (CS) and producer surplus (PS) and total surplus for parts (1) and (2). Show CS, PS, and DWL on the graph. Calculate the DWL due to monopoly.
If the firm engages in first degree price discrimination, find the profit maximizing quantity and the resulting profit to the monopoly.
Between (1) and (5), which pricing scheme is preferred by the monopolist and which by the consumers? why?

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