A manufacturer estimates that its product can be produced at a total cost of C(x) = 45,000 + 100x + x³ dollars. If the manufacturer's total revenue from the sale of x units is R(x) = 5200x dollars, determine the level of production x that will maximize the profit. (Round your answer to the nearest whole number.) units Find the maximum profit. (Round your answer to the nearest dollar.) $

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
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A manufacturer estimates that its product can be produced at a total cost of C(x) = 45,000 + 100x + x3 dollars. If the manufacturer's total revenue from the sale of x units is R(x) = 5200x dollars,
determine the level of production x that will maximize the profit. (Round your answer to the nearest whole number.)
units
Find the maximum profit. (Round your answer to the nearest dollar.)
$
Transcribed Image Text:A manufacturer estimates that its product can be produced at a total cost of C(x) = 45,000 + 100x + x3 dollars. If the manufacturer's total revenue from the sale of x units is R(x) = 5200x dollars, determine the level of production x that will maximize the profit. (Round your answer to the nearest whole number.) units Find the maximum profit. (Round your answer to the nearest dollar.) $
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