The monthly demand function for x units of a product sold by a monopoly is p=6400-0.5x^2 dollars and average cost is  C = 3,030 + 2x dollars. Production is limited to 100 units. Find the number of units that maximizes profits. Find the maximum profit.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 16T
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The monthly demand function for x units of a product sold by a monopoly is

p=6400-0.5x^2 dollars and average cost is 
C = 3,030 + 2x dollars.

Production is limited to 100 units.

Find the number of units that maximizes profits.

Find the maximum profit.

 

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