Let’s assume a monopolist has the following inverse demand curve: p = 248 −3q and the following cost curve: T C = 8q + q^2 (a) Calculate the marginal revenue and marginal cost for this firm. (b) Let’s assume the firm chose to operate in a perfectly competitive market. If that was true, what is the equilibrium price and quantity?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter14: Monopoly
Section: Chapter Questions
Problem 14.2P
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Let’s assume a monopolist has the following inverse demand curve:
p = 248 −3q
and the following cost curve:
T C = 8q + q^2
(a) Calculate the marginal revenue and marginal cost for this firm.
(b) Let’s assume the firm chose to operate in a perfectly competitive market. If that was true,
what is the equilibrium price and quantity?
(c) Graph the demand curve, marginal revenue, and marginal cost for the perfectly competitive
market. Show the optimal quantity and price on the graph.
(d) Calculate the consumer surplus, producer surplus, and deadweight loss in this market.
(e) Now, let’s assume the firm chose to operate as a monopolist. If that was true, what is the
equilibrium price and quantity?
(f) Graph the demand curve, marginal revenue, and marginal cost for the monopolist market.
Show the optimal quantity and price on the graph.
(g) Calculate the consumer surplus, producer surplus, and deadweight loss in this market.

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