he latest demand equation for your Yoda vs. Alien T-shirts is given by q = −50x + 700 where q is the number of shirts you can sell in one week if you charge $x per shirt. The Student Council charges you $500 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. C(x) = −250x+3500 Hence, find the weekly profit as a function of x. P(x) = −50x2+950x−3500 Determine the unit price (in dollars per T-shirt) you should charge to obtain the largest possible weekly profit. x = $ per T-shirt What is the largest possible weekly profit (in dollars)?

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