transpotation problem, Operation Research

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a manufacture wants to ship 8 loads of his product as shown below. The matrix gives the mileage from origin to the destination D.
Origin Destination Available
A B C
X 50 30 220 1
Y 90 45 170 3
Z 50 200 50 4
Required 3 3 2
Shipping costs are Rs. 30 per load per mile. What shipping schedule should be used? Use MODI method to test its optimality.

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