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Suppose that a firm has three factories / sources of supply / & four warehouses /point of demand/. The firm's production capacity at the three

  1. Suppose that a firm has three factories /sources of supply/ & four warehouses /point of demand/. The firm's production capacity at the three factories, the demand for the four destination centers located at various regions & the cost of shipping each unit from the factories to the warehouses through each route is given as follows:

Destinations

W1 W2 W3 W4 Factory Capacity
F1 3 2 7 6 5000
F2 7 5 2 3 6000
F3 2 5 4 5 2500
Demand 6000 4000 2000 1500 13500

Required:

  1. Develop an initial feasible solution using VAM & compute the total cost.
  2. Determine its optimality using MODI method

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