# Problem #1433

 1433 A semipro baseball league has teams with $21$ players each. League rules state that a player must be paid at least $\textdollar 15,000$ and that the total of all players' salaries for each team cannot exceed $\textdollar 700,000.$ What is the maximum possible salary, in dollars, for a single player? $\mathrm{(A)}\ 270,000\qquad\mathrm{(B)}\ 385,000\qquad\mathrm{(C)}\ 400,000\qquad\mathrm{(D)}\ 430,000\qquad\mathrm{(E)}\ 700,000$ This problem is copyrighted by the American Mathematics Competitions.
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