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c)A firm produces two goods in quantities x and y. Its cost function is C(x,y) = 10x + xy + 10y and the prices PX

c)A firm produces two goods in quantities x and y. Its cost function is C(x,y) = 10x + xy + 10y and the prices PX and Py it can charge are, respectively, PX = 50 x + y and

Py = 50 x + y. The firm is committed to delivering a total of 15 units. How much should the firm produce of each good to maximize profits?

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