Consider a competitive firm with a short-run cost function C(q)=100q-q^2+(1/5)q^3+450 (a) Suppose that the market price is $205. Find the optimal output. Find the profit or loss at the optimal output. Will the firm stay or shutdown? Why? (b) Suppose that the market price is $105. Find the optimal output. Find the profit or loss at the optimal output. Will the firm stay or shutdown? Why? (c) Suppose that the market price is $205 and there is a tax of $65 per unit produced. Find the optimal output. Find the profit or loss at the optimal output. Will the firm stay or shutdown? Why?

Survey Of Economics
10th Edition
ISBN:9781337111522
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter7: Perefect Competition
Section: Chapter Questions
Problem 5SQP
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Consider a competitive firm with a short-run cost function C(q)=100q-q^2+(1/5)q^3+450
(a) Suppose that the market price is $205. Find the optimal output. Find the profit
or loss at the optimal output. Will the firm stay or shutdown? Why?
(b) Suppose that the market price is $105. Find the optimal output. Find the profit
or loss at the optimal output. Will the firm stay or shutdown? Why?
(c) Suppose that the market price is $205 and there is a tax of $65 per unit produced. Find the optimal output. Find the profit or loss at the optimal output. Will the firm stay or shutdown? Why?

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