The weekly demand function for x units of a product sold by only one firm is p = 500 −  1 2x dollars, and the average cost of production and sale is C = 400 + 2x dollars. (a) Find the quantity that will maximize profit. units (b) Find the selling price at this optimal quantity. $ per unit (c) What is the maximum profit? $

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 91RE
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The weekly demand function for x units of a product sold by only one firm is

p = 500 − 
1
2
x dollars,

and the average cost of production and sale is

C = 400 + 2x dollars.
(a) Find the quantity that will maximize profit.
units

(b) Find the selling price at this optimal quantity.
$ per unit

(c) What is the maximum profit?
$
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