2x1 4x2 3, 0 x 1, 0 x 1 Weights Extreme point 1 x 0, x2 0 21 Extreme point 2 x1 0, x2 1 Extreme point 3 x1 1, x2 0 Extreme point 4 x1 1, x2 1 222 Maximize z 0x1 82 33 1124, Dual subject to 01 42 223 624 3, 1 2 3 4 1, (j 1, 2, 3, 4) variables Minimize w, subject to w 3 3 0, w 8, W 3, w 3 11 W 10 00 16 2 Dual Feasible Region w 3T w 11 3T 1 2 3 4 w 3 T W 8 T

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Question: 2x1 + 4x2 3, 0 x 1, 0 x 1. Weights Extreme point 1: x = 0, x2 = 0 21 = Extreme point

2x1 + 4x2 3, 0 x 1, 0 x 1. Weights Extreme point 1: x = 0, x2 = 0 21 = Extreme point 2: x1 = 0, x2 = 1 Extreme point 3: x1 = 1, x2 = 0 Extreme point 4: x1 = 1, x2 = 1 222 Maximize z = 0x1 +82 +33 +1124, Dual subject to:

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