(c) If you wanted to price regulate this monopolist so as to maximise consumer plus producer surplus, what price ceiling would you impose? How much output will the monopolist produce at this price ceiling? Explain your calculations. (d) Suppose that you impose a specific tax of £20 per unit of output. What would its profit maximising level of output be? Explain your derivation and comment on the impact on output.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter14: Monopoly
Section: Chapter Questions
Problem 14.2P
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part C D

2. A monopolist has a cost function given by C(y)=y² +12 and faces a demand curve given by
P(y) = 24-y.
(a) What is the profit maximising level of output and price charged by the monopolist?
Show your calculations.
(b) If you impose a lump sum tax of £100 on this monopolist, what would be the impact on
output? Explain your calculations and your result.
(c) If you wanted to price regulate this monopolist so as to maximise consumer plus
producer surplus, what price ceiling would you impose? How much output will the
monopolist produce at this price ceiling? Explain your calculations.
(d) Suppose that you impose a specific tax of £20 per unit of output. What would its profit
maximising level of output be? Explain your derivation and comment on the impact on
output.
Transcribed Image Text:2. A monopolist has a cost function given by C(y)=y² +12 and faces a demand curve given by P(y) = 24-y. (a) What is the profit maximising level of output and price charged by the monopolist? Show your calculations. (b) If you impose a lump sum tax of £100 on this monopolist, what would be the impact on output? Explain your calculations and your result. (c) If you wanted to price regulate this monopolist so as to maximise consumer plus producer surplus, what price ceiling would you impose? How much output will the monopolist produce at this price ceiling? Explain your calculations. (d) Suppose that you impose a specific tax of £20 per unit of output. What would its profit maximising level of output be? Explain your derivation and comment on the impact on output.
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