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...

(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 $300 for use of the student center. Write down the weekly profit
P
as a function of the unit price
x. HINT [See Example 4.]

P(x) =

Determine how much the fraternities should charge to obtain the largest possible weekly profit.


x
= $ per T-shirt



What is the largest possible weekly profit?

$