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Mathematics, 31.03.2021 14:00 Sumaiyajr2567

A shop sells two competing brands of socks, Levis and Gap. Each pair of socks is obtained at a cost of 6 dollars per pair. The manager estimates that if he sells the Levis socks for x dollars per pair and the Gap socks for y dollars per pair, then consumers will buy 26βˆ’3x+3y pairs of Levis socks and 1+3xβˆ’7/2y pairs of Gap socks. How should the manager set the prices so that the profit will be maximized? Round your answers to the nearest cent.

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