A manufacturer of television sets makes two models, the Deluxe and the Standard. The manager estimates that when x hundred Deluxe sets and y hundred Standard sets are produced each year, the annual profit will be P(x, y) thousand dollars, where

The company can produce exactly 30,000 sets each year. How many Deluxe and how many Standard sets should be produced each year to maximize annual profit?

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P(x, y) = -0.3x²0.5xy - 0.4y² + 85x + 125y - 2,500