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The Two Fraternities Sigma Alpha Mu and Ep Sig Plan

question 9

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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 ?


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