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A bicycle shop sells two styles of a road bike, 10-speed and 14-speed. During the month...

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Basic Math

A bicycle shop sells two styles of a road bike, 10-speed and14-speed. During the month of September, the management expects tosell exactly 45 road bikes. The monthly profit is given byP(x,y)=?(1/9)x^2?5y^2?(1/9)xy+10x+65y?100, where x is the number of10-speed road bikes sold and y is the number of 14-speed road bikessold. How many of each type should be sold to maximize the profitin September?

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