SOLUTION IS:

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The Big Buy retail chain ships televisions from three of its distribution centers/warehouses to three of its retail stores on a monthly basis. Each warehouse has a fixed supply per month, and each store has a fixed demand per month. The manufacturer wants to know the number of televisions to ship from each warehouse to each store to minimize the total cost of transportation. Each warehouse has the following supply of televisions available for shipment each month: Each retail store has the following monthly demand for televisions: Costs of transporting televisions from the warehouses to the retail stores vary as a result of differences in modes of transportation and distances. The shipping cost per television for each route is as follows: The solution is x1Cx2Bx3Ax3BZ=200TVsshippedfromCincinnatitoDetroit=200TVsshippedfromAtlantatoDallas=150TVsshippedfromPittsburghtoNewYork=50TVsshippedfromPittsburghtoDallas=$7,300shippingcost Note that the surplus for the first constraint, which is the supply at the Cincinnati warehouse, equals 100 TVs. This means that 100 TVs are left in the Cincinnati warehouse, which has inventory and storage implications for the manager