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?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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