HW5 - -900Z 3 W 31 W 32 W 33 E 34 ≤ 0 W 11 W 21 W 31 ≥...

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1. Decisions: Does player I start or not? For I =1,2,3…7 Decision Variables: X 1 + X 2 + X 3 + X 4 + X 5 + X 6 + X 7 = 5 1. X 1 + X 3 + X 5 +X 7 ≥ 4 X 3 + X 4 + X 5 + X 5 + X 7 ≥ 2 X 2 + X 4 + X 6 ≥ 1 2. 3X 1 + 2X 2 + 2X 3 + X 4 + 3X 5 + 3X 6 + 3X 7 ≥ 10 3X 1 + X 2 + 2X 3 + 3X 4 + 3X 5 + X 6 + 2X 7 ≥ 10 X 1 + 3X 2 + 2X 3 + 3X 4 + 3X 5 + 2X 6 + 2X 7 ≥ 10 3. X 3 + X 6 ≤ 1 4. X 4 + X 5 ≥ 2X 1 5. X 2 + X 3 ≥ 1 Max = 3X 1 + 2X 2 + 2X 3 + X 4 + 3X 5 + 3X 6 + 1X 7 2. a) P ij = Quantity shipped from plant i to warehouse j MIN35Y 1 +45Y 2 +40Y 3 +42Y 4 +30Z 1 +40Z 2 +30Z 3 +40Y 5 +.8P 11 +P 12 +1.2P 13 +.7P 21 +.5P 22 +.7P 23 +.8P 31 +.6P 32 +.5P 3 3 +.5P 41 +.6P 42 +.7P 43 +.7P 51 +.6P 52 +.5P 53 +.04W 11 +.08W 12 +.09W 13 +.05W 14 +.07W 21 +.07W 22 +.06W 23 +.08W 24 +.08W 31 +.03W 32 +.05W 33 +.06W 34 SUBJECT TO -300Y 1 +P 11 +P 12 +P 13 ≤ 0 -200Y 2 +P 21 +P 22 +P 23 ≤ 0 -300Y 3 +P 31 +P 32 +P 33 ≤ 0 -200Y 4 +P 41 +P 42 +P 43 ≤ 0 -400Y 5 +P 51 +P 52 +P 53 ≤ 0 P 11 +P 21 +P 31 +P 41 +P 51 -W 11 -W 12 -W 13 -W 14 =0 P 12 +P 22 +P 32 +P 42 +P 52 -W 21 -W 22 -W 23 -W 24 =0 P 13 +P 23 +P 33 +P 43 +P 53 -W 31 -W 32 -W 33 -W 34 =0 -900Z 1 +W 11 +W 12 +W 13 +W 14 ≤ 0 -900Z 2 +W 21 +W 22 +W 23 +W 24 ≤ 0
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Unformatted text preview: -900Z 3 +W 31 +W 32 +W 33 +E 34 ≤ 0 W 11 +W 21 +W 31 ≥ 200 W 12 +W 22 +W 32 ≥ 300 W 13 +W 23 +W 33 ≥ 150 W 14 +W 24 +W 34 ≥ 250 END b) Let Pij = Number of tons produced at plant i and shipped to warehouse j, Wij = Number of tons sent from warehouse i to customer j, Yi = 1 if plant i is used, Yi = 0 otherwise, Zi = 1 if warehouse i is used, Zi = 0 otherwise. i = 1, 2, 3(w 1 , w2, D) j = 1, 2, 3 (c 1 , c 2 , c 3 ) X ij = # of units shipped from warehouse i to customer j C ij = Cost to ship from warehouse i to customer j S i = # of units supplied by warehouse i D j = # of units demanded by customer j Subject to: All variable ≥ 0...
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HW5 - -900Z 3 W 31 W 32 W 33 E 34 ≤ 0 W 11 W 21 W 31 ≥...

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