A manufacturer of tennis rackets finds that the total cost C(x) (in dollars) of manufacturing x rackets/day is given by C(x) = 700 + 3x + 0.0002x2. Each racket can be sold at a price of p dollars, where p is related to x by the demand equation p = 5 − 0.0003x. 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). _______________rackets
A manufacturer of tennis rackets finds that the total cost C(x) (in dollars) of manufacturing x rackets/day is given by C(x) = 700 + 3x + 0.0002x2. Each racket can be sold at a price of p dollars, where p is related to x by the demand equation p = 5 − 0.0003x. 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). _______________rackets
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...
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Question
A manufacturer of tennis rackets finds that the total cost C(x) (in dollars) of manufacturing x rackets/day is given by
C(x) = 700 + 3x + 0.0002x2.
Each racket can be sold at a price of p dollars, where p is related to x by the demand equation
p = 5 − 0.0003x.
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).
_______________rackets
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