In: Math
A shop sells two competing brands of socks, Levis and Gap. Each pair of socks is obtained at a cost of 33 dollars per pair. The manager estimates that if he sells the Levis socks for xx dollars per pair and the Gap socks for yy dollars per pair, then consumers will buy 10−3x+y10−3x+y pairs of Levis socks and 1+3x−2y1+3x−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.