A firm can produce only 2500 units per month. The monthly total cost is given by C(x) = 400 + 200x dollars, where x is the number produced. If the total revenue is given by R(x) = 350x − 1/100 x2 dollars, how many items, x, should the firm produce for maximum profit? x = _____ items Find the maximum profit.

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 78E
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A firm can produce only 2500 units per month. The monthly total cost is given by

C(x) = 400 + 200x

dollars, where x is the number produced. If the total revenue is given by

R(x) = 350x − 1/100 x2

dollars, how many items, x, should the firm produce for maximum profit?
x = _____ items

Find the maximum profit.
$ ______

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