T-Shirt Profit Two fraternities, Sig Ep and Ep Sig, plan to raise money jointly to benefit homeless people on Long Island. They will sell Yoda vs. Alien T-shirts in the student center, but are not sure how much to charge. Sig Ep treasurer Augustus recalls that they once sold 30 shirts in a week at $9 per shirt, but Ep Sig treasurer Julius has solid research indicating that it is possible to sell 210 per week at $3 per shirt. (a) On the basis of this information, construct a linear demand equation for Yoda vs. Alien T-shirts. Hence obtain the weekly revenue R as a function of the unit price x. R (X ) = (b) The university administration charges the fraternities a weekly fee of $100 for use of the student center. Write down the weekly profit P as a function of the unit price x. P (X ) = Determine how much the fraternities should charge (in dollars per T-shirt) to obtain the largest possible weekly profit. x = $ per T-shirt What is the largest possible weekly profit (in dollars)