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A furniture store sells two styles of a chair, reclining and non-reclining. During the month of...

A furniture store sells two styles of a chair, reclining and non-reclining. During the month of March, the management expects to sell exactly 525 chairs. The monthly profit is given by P(x,y)=−(1/3)x^2−(5/2)y^2−(1/3)xy+35x+55y−900, 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 March?

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