A furniture store sells two styles of a chair, reclining and non-reclining. During the month of September, the management expects to sell exactly 511 chairs. The 1 1 —-/x² – 2y²- ·2y² 7 monthly profit is given by P(x, y) − −xy + 10x + 9y − 600, where x is the number of reclining chairs sold and y is the number of non-reclining chairs sold. How many of each type should be sold to maximize the profit in September?

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