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A company manufactures two types of sneakers, running shoes and basketball shoes. The total revenue (in thousands of dollars) from x units of running...

A company manufactures two types of sneakers, running shoes and basketball shoes. The total revenue (in thousands of dollars) from x units of running shoes and y units of basketball shoes is given: R=-5x^2-8y^2-2xy+42x+102y where x and y are in thousands of units. Find x and y, so as to maximize the revenue. Be sure to verify you have indeed found a maximum. How many of each shoe should the company produce in order to maximize revenue? What is the maximum revenue? 

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