The Two Fraternities Sigma Alpha Mu and Ep Sig Plan

Multiple Choice

The two fraternities Sigma Alpha Mu and Ep Sig plan to raise money jointly to benefit homeless people on Long Island. They will sell Starship Troopers T-shirts in the Student Center, but they are not sure how much to charge. Sigma Alpha Mu treasurer Solo recalls that they once sold 100 shirts in a week at $4 each, but Ep Sig treasurer Justino claims that, based on past experience, they can sell 400 per week if they charge $2 each. The university administration charges the fraternities $700 per week for use of the Student Center. What is the largest possible weekly profit, rounded to the nearest dollar ?

A) $700
B) $117
C) $817
D) $233
E) $1,633