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1. [25 Pt.] An optimization programming model is formulated as follows: Max. Zx+2y s. t. 3x + y 3 x + 3y 2 -x+2y2

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1. [25 Pt.] An optimization programming model is formulated as follows: Max. Zx+2y s. t. 3x + y 3 x + 3y 2 -x+2y2 5x + y 15 2x - y 4 x, y 0 and the constraints in the model are illustrated in a plot as A E F C B D G H K L N M (i) [5 Pt.] As an LP problem, identify the feasible solution area and shade it above graph.

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