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2. The company Shirts Galore has figured its total cost of producing and selling x units of T-shirts per month is given by the equation C(x) = 120 + 2.5x – 0.0002x². a. Write a rational function to represent the average cost of producing and selling a shirt. b. If the production level is 1200 shirts per month, find the average cost of producing and selling a shirt. c. If the shirts are sold for $7.98 a shirt, what is the profit realized on producing and selling 1200 shirts per month? d. What price must be charged when selling the shirts for a profit of $7368 to be made on 1200 shirts in one month?

2. The company Shirts Galore has figured its total cost of producing and selling x units of T-shirts per month is given by the equation C(x) = 120 + 2.5x – 0.0002x². a. Write a rational function to represent the average cost of producing and selling a shirt. b. If the production level is 1200 shirts per month, find the average cost of producing and selling a shirt. c. If the shirts are sold for $7.98 a shirt, what is the profit realized on producing and selling 1200 shirts per month? d. What price must be charged when selling the shirts for a profit of $7368 to be made on 1200 shirts in one month?

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 56E
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2. The company Shirts Galore has figured its total cost of producing and selling x units of T-shirts per month is given by the equation C(x) = 120 +2.5x -0.0002x². a. Write a rational function to represent the average cost of producing and selling a shirt. b. If the production level is 1200 shirts per month, find the average cost of producing and selling a shirt. c. If the shirts are sold for $7.98 a shirt, what is the profit realized on producing and selling 1200 shirts per month? d. What price must be charged when selling the shirts for a profit of $7368 to be made on 1200 shirts in one month?
Transcribed Image Text:2. The company Shirts Galore has figured its total cost of producing and selling x units of T-shirts per month is given by the equation C(x) = 120 +2.5x -0.0002x². a. Write a rational function to represent the average cost of producing and selling a shirt. b. If the production level is 1200 shirts per month, find the average cost of producing and selling a shirt. c. If the shirts are sold for $7.98 a shirt, what is the profit realized on producing and selling 1200 shirts per month? d. What price must be charged when selling the shirts for a profit of $7368 to be made on 1200 shirts in one month?
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