. If the cost function for a firm producing x packages is given by C(x) = 48x + 5 and the revenue function for selling x packages is given by R(x) = -x³ + 75x, find the quantity of packages that would maximize profit, then find the maximum profit.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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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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2. If the cost function for a firm producing ? packages is given by ?(?) = 48? + 5 and the revenue function for selling ? packages is given by ?(?) = −?3 + 75?, find the quantity of packages that would maximize profit, then find the maximum profit.

2. If the cost function for a firm producing x packages is given by C(x) = 48x + 5 and the revenue
function for selling x packages is given by R(x) = -x³ + 75x, find the quantity of packages that would
maximize profit, then find the maximum profit.
Transcribed Image Text:2. If the cost function for a firm producing x packages is given by C(x) = 48x + 5 and the revenue function for selling x packages is given by R(x) = -x³ + 75x, find the quantity of packages that would maximize profit, then find the maximum profit.
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