A manufacturer of tennis rackets finds that the total cost C(x) (in dollars) of manufacturing x rackets/day is given by  C(x) = 900 + 7x + 0.0003x2.  Each racket can be sold at a price of p dollars, where p is related to x by the demand equation  p = 10 − 0.0002x.  If all rackets that are manufactured can be sold, find the daily level of production that will yield a maximum profit for the manufacturer. Hint: The

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ISBN:9781337282291
Author:Ron Larson
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ChapterP: Prerequisites
SectionP.4: Factoring Polynomials
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A manufacturer of tennis rackets finds that the total cost C(x) (in dollars) of manufacturing x rackets/day is given by 

C(x) = 900 + 7x + 0.0003x2.

 Each racket can be sold at a price of p dollars, where p is related to x by the demand equation 

p = 10 − 0.0002x.

 If all rackets that are manufactured can be sold, find the daily level of production that will yield a maximum profit for the manufacturer. Hint: The revenue is 

R(x) = px,

 and the profit is 

P(x) = R(x) − C(x).
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