The total revenue function for a certain product is given by R=470x dollars, and the total cost function for this product is C=20,000+50x+x2 ​dollars, where x is the number of units of the product that are produced and sold. a. Find the profit function. b. Find the number of units that gives maximum profit. c. Find the maximum possible 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 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...
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The total revenue function for a certain product is given by
R=470x dollars, and the total cost function for this product is
C=20,000+50x+x2 ​dollars, where x is the number of units of the product that are produced and sold.
a.
Find the profit function.
b.
Find the number of units that gives maximum profit.
c.
Find the maximum possible profit.

P(x) = 

Simplify your answer

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