Suppose that for a particular perfectly competitive firm the AVC function is given by: AVC=200-7.5Q +.267Q2 and FC is equal to $250. Suppose also that the current market price equals $140. a. Find the MC curve for this firm. b. Find the profit maximizing output (note: you will need a quadratic equation solver - use Math is Fun quadratic equation solver if you like) but you will need to come up with the quadratic equation in your answer and indicate what a, b and c are equal to, then you are allowed to pick the bigger Q (the smaller Q will not be profit maximizing). You may round the Q you find to the nearest whole number. c. Calculate profits at this level of output.

Microeconomics
13th Edition
ISBN:9781337617406
Author:Roger A. Arnold
Publisher:Roger A. Arnold
Chapter9: Perfect Competition
Section: Chapter Questions
Problem 6QP
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Suppose that for a particular perfectly competitive firm the AVC function is given by:

AVC=200-7.5Q +.267Q2 and FC is equal to $250. Suppose also that the current market price equals $140.

a. Find the MC curve for this firm.

b. Find the profit maximizing output (note: you will need a quadratic equation solver - use Math is Fun quadratic equation solver if you like) but you will need to come up with the quadratic equation in your answer and indicate what a, b and c are equal to, then you are allowed to pick the bigger Q (the smaller Q will not be profit maximizing). You may round the Q you find to the nearest whole number.

c. Calculate profits at this level of output. d. Should the firm produce at the output you found in part C or should it shut down temporarily? Explain.

e. Now, confirm your answer in part d by finding the unique market price below which the perfectly competitive firm would want to shut down. Explain your answer. 

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