The latest demand equation for your Yoda vs. Alien T-shirts is given by the formula below, where q is the number of shirts you can sell in one week if you charge $x per shirt. q = -50x + 700
The Student Council charges you $100 per week for use of their facilities, and the T-shirts cost you $6 each. Find the weekly cost as a function of the unit price x.
Hence, find the weekly profit as a function of x.