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The Two Fraternities Sigma Alpha Mu and Ep Sig Plan

question 75

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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 200 shirts in a week at $8 each, but Ep Sig treasurer Justino claims that, based on past experience, they can sell 500 per week if they charge $4 each. The university administration charges the fraternities $300 per week for use of the Student Center. What is the largest possible weekly profit, rounded to the nearest dollar?


Definitions:

Adopted Children

Children who have been legally taken into a family different from their biological one, creating a permanent parent-child relationship.

Exogamous

Referring to a social arrangement where marriage is only permitted outside a social group or community.

Endogamous

Pertaining to the practice of marrying within a specific social group, caste, or ethnicity, often to maintain cultural or religious continuity.

Incestuous

Involving sexual relations between close relatives who are forbidden by law or cultural norms to marry.

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