Find the maximum and minimum values of the function for the polygonal convex set determined by the given system of inequalities.

x + y > 2

8x – 2y < 16

4y < 6x + 8

f(x, y) = 4x + 7y

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maximize 4x+7y given x+y>2, 8x-2y<16, 4y<6x+8

same for minimize
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