40. T-Shirt Profit The latest demand equation for your Yoda vs. Alien T-shirts is given by q = -40x + 600, where q is the number of shirts you can sell in one week if you charge $x per shirt. The Student Council charges you $400 per week for use of their facilities, and the T-shirts cost you $5 each. Find the weekly cost as a function of the unit price x. Hence, find the weekly profit as a function of x, and determine the unit price you should charge to obtain the largest possible weekly profit. What is the largest possible weekly profit?

Essentials of Economics (MindTap Course List)
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ISBN:9781337091992
Author:N. Gregory Mankiw
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Chapter14: Monopoly
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Question 40

40. T-Shirt Profit The latest demand equation for your Yoda
vs. Alien T-shirts is given by
q = -40x + 600,
where q is the number of shirts you can sell in one week if
you charge $x per shirt. The Student Council charges you
$400 per week for use of their facilities, and the T-shirts
cost you $5 each. Find the weekly cost as a function of the
unit price x. Hence, find the weekly profit as a function of x,
and determine the unit price you should charge to obtain the
largest possible weekly profit. What is the largest possible
weekly profit?
Transcribed Image Text:40. T-Shirt Profit The latest demand equation for your Yoda vs. Alien T-shirts is given by q = -40x + 600, where q is the number of shirts you can sell in one week if you charge $x per shirt. The Student Council charges you $400 per week for use of their facilities, and the T-shirts cost you $5 each. Find the weekly cost as a function of the unit price x. Hence, find the weekly profit as a function of x, and determine the unit price you should charge to obtain the largest possible weekly profit. What is the largest possible weekly profit?
Expert Solution
Step 1

Demand function: q=-40x+600

Total Cost=Fixed Cost+Variable Cost

Fixed Cost=$400

Variable cost=$5x

TC=400+5x

 

 

 

 

 

 

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