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?

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Functions
Section9.CR: Review Problem Set
Problem 13CR
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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