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

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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 (ii) [5 Pt.] Which points are the extreme points? Find the coordinates of each extreme point. 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 (ii) [5 Pt.] Which points are the extreme points? Find the coordinates of each extreme point.