Suppose a firm’s inverse demand curve is given by P  = 120  - .5Q and its cost equation is C  = 420 +  60Q  + Q2. a. Find the firm’s optimal quantity, price, and profit (1) by using the profit and marginal profit equations and (2) by setting MR equal to MC. Also provide a graph of MR and MC. b. Suppose instead that the firm can sell any and all of its output at the fixed market price P   120. Find the firm’s optimal output.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter18: Asymmetric Information
Section: Chapter Questions
Problem 18.3P
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Suppose a firm’s inverse demand curve is given by P  = 120  - .5Q and its

cost equation is C  = 420 +  60Q  + Q2.

a. Find the firm’s optimal quantity, price, and profit (1) by using the

profit and marginal profit equations and (2) by setting MR equal to

MC. Also provide a graph of MR and MC.

b. Suppose instead that the firm can sell any and all of its output at the

fixed market price P   120. Find the firm’s optimal output.

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