Problem:
A semipro baseball league has teams with players each. League rules state that a player must be paid at least , and that the total of all players' salaries for each team cannot exceed . What is the maximum possible salary, in dollars, for a single player?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
A single player can receive the largest possible salary only when the other players on the team are each receiving the minimum salary of . Thus the maximum salary for any player is .
The problems on this page are the property of the MAA's American Mathematics Competitions