e profit maximising level of output and the price that the mor how your calculations. ose a lump sum tax of £100 on this monopolist, what will be the kplain your calculations and the intuition behind your result. nted to choose a price ceiling for this monopolist so as to plus producer surplus, what price ceiling should you choose? | the monopolist produce at this price ceiling? Explain your calcu hat you impose a specific tax of £20 per unit of output. What st's profit maximising level of output? Explain your derivation an pact on output.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter14: Monopoly
Section: Chapter Questions
Problem 14.2P
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1. A monopolist has a cost function given by C(y)=y² and faces a demand curve given by P(y)
120-y.
%3D
(a) What is the profit maximising level of output and the price that the monopolist will
charge? Show your calculations.
(b) If you impose a lump sum tax of £100 on this monopolist, what will be the impact on
output? Explain your calculations and the intuition behind your result.
(c) If
you wanted to choose a price ceiling for this monopolist so as to maximise
consumer plus producer surplus, what price ceiling should you choose? 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 will be the
monopolist's profit maximising level of output? Explain your derivation and comment
on the impact on output.
Transcribed Image Text:1. A monopolist has a cost function given by C(y)=y² and faces a demand curve given by P(y) 120-y. %3D (a) What is the profit maximising level of output and the price that the monopolist will charge? Show your calculations. (b) If you impose a lump sum tax of £100 on this monopolist, what will be the impact on output? Explain your calculations and the intuition behind your result. (c) If you wanted to choose a price ceiling for this monopolist so as to maximise consumer plus producer surplus, what price ceiling should you choose? 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 will be the monopolist's profit maximising level of output? Explain your derivation and comment on the impact on output.
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