A shop sells two competing brands of socks, Levis and Gap. Each pair of socks is...

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A shop sells two competing brands of socks, Levis and Gap. Eachpair of socks is obtained at a cost of 33 dollars per pair. Themanager estimates that if he sells the Levis socks for xx dollarsper pair and the Gap socks for yy dollars per pair, then consumerswill buy 10?3x+y10?3x+y pairs of Levis socks and 1+3x?2y1+3x?2ypairs of Gap socks. How should the manager set the prices so thatthe profit will be maximized? Round your answers to the nearestcent.

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