Break-Even The total revenue function for Frenchdoor refrigerators is given by R = 550x dollars, andthe total cost function for this same product is givenby C = 10,000 + 30x + x2, where C is measured indollars. For both functions, the input x is the numberof refrigerators produced and sold.a. Form the profit function for the refrigerators fromthe two given functions. b. What is the profit when 18 refrigerators areproduced and sold?c. What is the profit when 32 refrigerators areproduced and sold?d. How many refrigerators must be sold to breakeven on this product?
Break-Even The total revenue function for Frenchdoor refrigerators is given by R = 550x dollars, andthe total cost function for this same product is givenby C = 10,000 + 30x + x2, where C is measured indollars. For both functions, the input x is the numberof refrigerators produced and sold.a. Form the profit function for the refrigerators fromthe two given functions. b. What is the profit when 18 refrigerators areproduced and sold?c. What is the profit when 32 refrigerators areproduced and sold?d. How many refrigerators must be sold to breakeven on this product?
Chapter10: Cost Functions
Section: Chapter Questions
Problem 10.9P
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Question
Break-Even The total revenue function for French
door refrigerators is given by R = 550x dollars, and
the total cost function for this same product is given
by C = 10,000 + 30x + x2
, where C is measured in
dollars. For both functions, the input x is the number
of refrigerators produced and sold.
a. Form the profit function for the refrigerators from
the two given functions.
b. What is the profit when 18 refrigerators are
produced and sold?
c. What is the profit when 32 refrigerators are
produced and sold?
d. How many refrigerators must be sold to break
even on this product?
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