Question: SHOW STEPS IN EXCEL AND SOLVER Problem 2. Wheat is harvested at farms in Nebraska and Colorado before being shipped to the three grain elevators

SHOW STEPS IN EXCEL AND SOLVER

SHOW STEPS IN EXCEL AND SOLVER Problem 2. Wheat

Problem 2. Wheat is harvested at farms in Nebraska and Colorado before being shipped to the three grain elevators in Kansas City, Omaha, and Des Moines. The amount of wheat harvested at each farm is 320 tons. The wheat is then shipped from grain elevators to the mills in Chicago, St. Louis, and Cincinnati. Each mill demands the following number of tons of wheat: Chicago - 200, St. Louis - 100, and Cincinnati - 300. The unit shipping cost (i.e., cost per ton) between points are given in the table below. The maximum capacities of the three grain elevators are: Kansas City - 160, Omaha - 185, Des Moines - 285. Create a model to determine the best shipment plan, which meets all requirements and minimizes the total shipment cost. Unit shipping costs (per ton) Nebraska Colorado Chicago St. Louis Cincinnati Kansas City $19 $18 To Des Moines $15 $19 Omaha $14 $16 Nebraska Colorado Kansas City Omaha Des Moines Chicago St. Louis Cincinnati $7 $9 $7 $11 $13 $7 $13 $12 $15 From Network formulation (flows in tons) Origin Destination Flow balance constraints Net flow out/in Cost Flow Index 1 2 3 4 5 6 7 8 Capacity constraint for Kansas City, Omaha, and Des Moines 3 4 5 Total Cost

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