The latest demand equation for your Yoda vs. Alien T-shirts is given by

q = 60p + 900

where q is the number of shirts you can sell in one week if you charge $p 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 p.

C(p) =

Hence, find the weekly profit as a function of p.

P(p) =

Determine the unit price you should charge to obtain the largest possible weekly profit. p = $ per T-shirt What is the largest possible weekly profit?