The latest demand equation for your Yoda vs. Alien T-shirts is given by q = −50x + 900 where q is the number of shirts you can sell in one week if you charge $ x per shirt. The Student Council charges...

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

where
q
is the number of shirts you can sell in one week if you charge $x
per shirt. The Student Council charges you $200 per week for use of their facilities, and the T-shirts cost you $7 each. Find the weekly cost as a function of the unit price
x.

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

Determine the unit price you should charge to obtain the largest possible weekly profit.

x
= $ per T-shirt


What is the largest possible weekly profit?
$