The monthly demand function for x units of a product sold by a monopoly is  p = 6400 − 1/2x2 dollars,  and its average cost is  C = 3010 + 2x dollars.  If production is limited to 100 units, find the number of units that maximizes profit. (Round your answer to the nearest whole number.) units

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 44PS: A company determines that its weekly profit from manufacturing and selling x units of a certain item...
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The monthly demand function for x units of a product sold by a monopoly is 

p = 6400 − 1/2x2 dollars,

 and its average cost is 

C = 3010 + 2x dollars.

 If production is limited to 100 units, find the number of units that maximizes profit. (Round your answer to the nearest whole number.)
 units

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