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?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning