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The profit function defined by f ( x , y ) = 2 x 2 2 x y 2 y 2 + 3 6 x

The profit function defined by f(x,y)=2x22xy2y2+36x+42y158 for all (x, y) has a maximum. Find them. (Hint: to find the maximum, you will have to derive the function partially with respect to x and with respect to y, and in both cases set zero and solve for each variable.)

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