3. A company produces x units of a product per month, where C(x) represents the total cost and R(x) represents the total revenue for the month. The functions are modeled by C(x) = 400x + 230 and %3D R(x) = -x² + 350x - 50. The profit is the difference between revenue and cost where P(x) = R(x) - C(x). What is the total profit, P(x), for the month? Show your work here to justify your answer.

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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3. A company produces x units of a product per month, where C(x) represents the total cost and R(x)
%3D
represents the total revenue for the month. The functions are modeled by C(x) = 400x + 230 and
R(x) = -x2 + 350x - 50. The profit is the difference between revenue and cost where P(x) = R(x) -
C(x). What is the total profit, P(x), for the month?
Show your work here to justify your answer.
Transcribed Image Text:3. A company produces x units of a product per month, where C(x) represents the total cost and R(x) %3D represents the total revenue for the month. The functions are modeled by C(x) = 400x + 230 and R(x) = -x2 + 350x - 50. The profit is the difference between revenue and cost where P(x) = R(x) - C(x). What is the total profit, P(x), for the month? Show your work here to justify your answer.
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