Construct a Phase I model corresponding to each of the following, and indicate appropriate starting values for
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Construct a Phase I model corresponding to each of the following, and indicate appropriate starting values for the artificial variables. Assume that all original decision variables start at wj = 0.
(a) max 22w1 - w2 + 15w3 s.t. 40w1 + 30w2 + 10w3 = 150 w1 - w2 … 0 4w2 + w3 Ú 0 w1, w2, w3 Ú 0
(b) min -w1 + 5w2 s.t. -w1 + w2 … 3 w2 Ú w1 + 1 w2 Ú w1 w1, w2 Ú 0
(c) min 2w1 + 3w2 s.t. 1w1 - 322 + 1w2 - 322 … 4 2w1 + 2w2 = 5 w1 Ú 3
(d) max 1w122 + 1w222 s.t. w1w2 … 9 2w1 = 4w2 w2 Ú 2 w1 Ú 0
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