Suppose a store sells two brands of disposable razors and the profit for these is a function

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Suppose a store sells two brands of disposable razors and the profit for these is a function of their two selling prices. The type 1 razor sells for $x, the type 2 sells for $y, and profit is given by

P = 915x - 30x2 - 45xy + 975y - 30y2 - 3500

Find the selling prices that maximize profit. Find the maximum profit.

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