A manufacturer estimates that its product can be produced at a total cost of C(x) = 40,000 + 100x + x3 dollars. If the manufacturer's total revenue from the sale of x units is R(x) = 5800x 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.) $

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter4: Systems Of Linear Equations
Section4.3: Solve Mixture Applications With Systems Of Equations
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A manufacturer estimates that its product can be produced at a total cost of C(x) = 40,000 + 100x + x3 dollars. If the manufacturer's total revenue from the sale of x units is
R(x) = 5800x 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) = 40,000 + 100x + x3 dollars. If the manufacturer's total revenue from the sale of x units is R(x) = 5800x 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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