2. Consider a market with 90 firms, each firm has a short-run total cost function as follows: TC(q) = 5q°, and a marginal cost function: MC(q) = 1Oq. Market demand is given by equation Q°(p) = 200 - p. a. What is the fixed cost? Solve the average variable cost function in the short-run. b. What is the supply function of each firm? c. Solve for the short-run equilibrium outcome: P*, Q* and q*.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter12: The Partial Equilibrium Competitive Model
Section: Chapter Questions
Problem 12.6P
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2. Consider a market with 90 firms, each firm has a short-run total cost function as
follows: TC(q) = 5q², and a marginal cost function: MC(q) = 10q. Market demand is
given by equation Q“(p) = 200 - p.
a. What is the fixed cost? Solve the average variable cost function in the short-run.
b. What is the supply function of each firm?
c. Solve for the short-run equilibrium outcome: P*, Q* and q*.
d. What is one firm's economic profit in this market?
e. Consider a different market structure, where there is only one firm, interpreted as
a monopolist, and then critically discuss the impact on equilibrium price and
quantity Discuss total surplus for these two types of market structures.
Transcribed Image Text:2. Consider a market with 90 firms, each firm has a short-run total cost function as follows: TC(q) = 5q², and a marginal cost function: MC(q) = 10q. Market demand is given by equation Q“(p) = 200 - p. a. What is the fixed cost? Solve the average variable cost function in the short-run. b. What is the supply function of each firm? c. Solve for the short-run equilibrium outcome: P*, Q* and q*. d. What is one firm's economic profit in this market? e. Consider a different market structure, where there is only one firm, interpreted as a monopolist, and then critically discuss the impact on equilibrium price and quantity Discuss total surplus for these two types of market structures.
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