The Krauss Railway Company specializes in grain 6. the following towns in the qu

Question

The Krauss Railway Company specializes in grain 6. the following towns in the quantities indicated: The towns below have the following demand for grain cars. Town 35 Sioux Falls Demand for Cars Town Belle Fourche Huron Yankton Pierre Rapid City 25 30 45 25 The distance in rail miles between towns is given below: Mitchell Sioux Falls 124 225 148 327 52 126 296 80 357 Write an LP that will determine the minimum distance transportation of grain cars between origin and destination towns. a. b. Use the template in Excel to solve the LP and write the optimal shipments below. Belle Fourche Huron YanktonPlerre Mitchell Sioux Falls Rapid City

Explanation / Answer

Distribution 1 Distribution 2 Distribution 3 Distribution 4 Supply Plant 1 327 52 66 124 35 Plant 2 362 126 80 225 60 Plant 3 55 296 357 148 25 Capacity 30 45 25 20 Distribution 1 Distribution 2 Distribution 3 Distribution 4 Total Plant 1 0 15 0 20 35 Plant 2 5 30 25 0 60 Plant 3 25 0 0 0 25 Total   30 45 25 20 Total cost 12225

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