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A company has four factories that ship products to five warehouses. The shipping costs, requirements and capacities are shown in the following table Shipping cost

A company has four factories that ship products to five warehouses. The shipping costs, requirements and capacities are shown in the following table

Shipping cost ($/case) to
From w1 w2 w3 W4 W5 Capacity ($,000)

F1

4 12 16 20 24 80
F2 8 8 4 16 20 60
F3 4 20 4 12 4 50
F4 20 8 16 20 16 50
Demand ($,000) 60 70 50 30 40

4.1 Give the steps that you follow when you determine the initial solution using the North West Corner Method. Give as four steps only. (4)

4.2 Give the steps that you follow when you determine the initial solution using Vogels Approximation Corner Method. Give as four steps only. (4)

4.3 Use the North West Corner Method to find an initial solution. (5)

4.4 Use the Vogels Approximation Method to find an initial solution. (12)

Total [25]

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