1.- A company that works in a perfectly competitive market has a total cost function: TC = Q3 - 36Q2 + 540Q + 600 The supply and demand functions in that market are: QS = 5P -500 Qd = 4,000 -10P a) How much should you produce to maximize your profits? b) Find what benefit you will get c) Calculate the closing point for the company

Principles of Microeconomics
7th Edition
ISBN:9781305156050
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter14: Firms In Competitive Markets
Section: Chapter Questions
Problem 1CQQ
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1.- A company that works in a perfectly competitive market has a total cost function:

TC = Q3 - 36Q2 + 540Q + 600

The supply and demand functions in that market are:

QS = 5P -500

Qd = 4,000 -10P

a) How much should you produce to maximize your profits?

b) Find what benefit you will get

c) Calculate the closing point for the company

d) Represent graphically the market equilibrium and that of the company, including the closing point

e) Locate the rectangle that represents profits on the company's equilibrium graph. Calculate your área considering the values ​​taken by the base and the height. Validate that it reaches the same result (or very close) to the one obtained in part b).

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