The total revenue function for a product is given by Requals=745x dollars, and the total cost function for this same product is given by C=10,500+30x+x^2, where C is measured in dollars. For both functions, the input x is the number of units produced and sold. a. Form the profit function for this product from the two given functions. b. What is the profit when 9 units are produced and sold? c. What is the profit when 23 units are produced and sold? d. How many units must be sold to break even on this product?
The total revenue function for a product is given by Requals=745x dollars, and the total cost function for this same product is given by C=10,500+30x+x^2, where C is measured in dollars. For both functions, the input x is the number of units produced and sold. a. Form the profit function for this product from the two given functions. b. What is the profit when 9 units are produced and sold? c. What is the profit when 23 units are produced and sold? d. How many units must be sold to break even on this product?
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...
Question
The total revenue function for a product is given by
Requals=745x
dollars, and the total cost function for this same product is given by
C=10,500+30x+x^2,
where C is measured in dollars. For both functions, the input x is the number of units produced and sold.a. Form the profit function for this product from the two given functions.
b. What is the profit when 9 units are produced and sold?
c. What is the profit when 23 units are produced and sold?
d. How many units must be sold to break even on this product?
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