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?
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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