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

q=90x+900

whereqis the number of shirts you can sell in one week if you charge $xper shirt. The Student Council charges you $100per week for use of their facilities, and the T-shirts cost you $5each. Find the weekly cost as a function of the unit pricex.

c(x)=

Hence, find the weekly profit as a function ofx.

p(x)=

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)?

$