2406 Problem 38 homwork 5

2406 Problem 38 homwork 5 - Transportation The Wheat...

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Transportation Page 1 The Wheat Shipping Example Shipping co Mills Grain Grain Elevators Chicago St. Louis Cincinnati Supply Shipped Grain Kansas City 25 0 125 150 150 Ka Omaha 0 0 175 175 175 Des Moines 175 100 0 275 275 De Demand 200 100 300 600 Grain Shipped 200 100 300 Cost = 4525 minimize Z = 6 x 1A + 8 x 1B + 10 x 1C + 7 x 2A + 11 x 2B + 11 x 2C + 4 x 3A + 5 x 3B + 12 x 3C subject to x1A + x 1B + x 1C = 150 x 2A + x 2B + x 2C = 175 x 3A + x 3B + x 3C = 275 x 1A + x 2A + x 3A = 200 x 1B + x 2B + x 3B = 100 x 1C + x 2C + x 3C = 300 x ij >= 0
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Transportation Page 2 osts ($/ton) Mills Elevators Chicago St. Louis Cincinnati ansas City 6 8 10 Omaha 7 11 11 es Moines 4 5 12
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The Wheat Shipping Transshipment Example Plant Shipping Costs: Farm 4.Indiana 5. Gerogia Supply Shipped Farms 1. Ohio 0 0 72000 0 1.Ohio 2. Pennsylvania 0 0 105000 0 2. Pennsylvania 3. New York 0 0 83000 0 3. New York Shipped 0 0 Distribution Center Trucks Plant 6. Virginia 7. Kentucky 8. Louisiana Shipped 4. Indian 0 0 0 0 5. Georgia 0 0 0 0 Demand 90000 80000 120000 Shipped 0 0 0 Transshipment flows: 4. Indiana 0 5. Gerogia 0 Cost = 0 minimize Z = 16 x 13 + 10 x 14 + 12 x 15 + 15 x 23 + 14 x 24 + 17 x 25 + 6 x 36 + 8 x 37 + 10 x 38 7 x 46 + 11 x 47 + 11 x 48 + 4 x 56 + 5 x 57 + 12 x 58
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