The total revenue function for a product is given by R=410x dollars, and the total cost function for this same product is given by C = 7000+40x + x2, 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 11 units are produced and sold? c. What is the profit when 27 units are produced and sold? d. How many units must be sold to break even on this product? a. Write the profit function. P(x) = x²+370x-7000 (Simplify your answer.) b. When 11 units are produced and sold, there is a loss (Simplify your answer.) of $

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter7: Rational Expressions And Functions
Section7.6: Solve Rational Inequalities
Problem 7.118TI: The function C(x)=5x+900 represents the cost to produce x, number of items. Find ? the average cost...
Question
The total revenue function for a product is given by R=410x dollars, and the total cost function for
this same product is given by C = 7000+40x + x2, 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 11 units are produced and sold?
c. What is the profit when 27 units are produced and sold?
d. How many units must be sold to break even on this product?
a. Write the profit function.
P(x) = x²+370x-7000
(Simplify your answer.)
b. When 11 units are produced and sold, there is a loss
(Simplify your answer.)
of $
Transcribed Image Text:The total revenue function for a product is given by R=410x dollars, and the total cost function for this same product is given by C = 7000+40x + x2, 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 11 units are produced and sold? c. What is the profit when 27 units are produced and sold? d. How many units must be sold to break even on this product? a. Write the profit function. P(x) = x²+370x-7000 (Simplify your answer.) b. When 11 units are produced and sold, there is a loss (Simplify your answer.) of $
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