T-shirt Profit - The latest demand equation for your Yoda vs. Alien T-shirt 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?

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T-shirt Profit -

The latest demand equation for your Yoda vs. Alien T-shirt 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? 

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