The weekly demand function for x units of a product sold by only one firm is p 600-r dollars, and the average cost of production and sale is C- 200 +2x dollars. (a) Find the quantity that will maximize profit. units (b) Find the selling price at this optimal quantity. per unit %2. (c) What is the maximum profit?

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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The weekly demand function for x units of a product sold by only one firm is p = 600 -
Ex dollars, and the average cost of production and sale is C - 200 + 2x dollars.
(a) Find the quantity that will maximize profit.
units
(b) Find the selling price at this optimal quantity.
per unit
24
(c) What is the maximum profit?
Transcribed Image Text:The weekly demand function for x units of a product sold by only one firm is p = 600 - Ex dollars, and the average cost of production and sale is C - 200 + 2x dollars. (a) Find the quantity that will maximize profit. units (b) Find the selling price at this optimal quantity. per unit 24 (c) What is the maximum profit?
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