If in the Transportation Problem the total capacity or availability with the warehouses does not match with

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If in the Transportation Problem the total capacity or availability with the warehouses does not match with the total requirements of the customers to be served, how would you go about formulating the Transportation Problem?

Customers W, X, Y and Z are to be served by warehouses A, B and C. The requirements of the customers are respectively 200, 300, 400 and 350 tonnes. The availabilities with the warehouses are 150, 500 and 420 respectively. The transportation costs in rupees per tonne from a warehouse to a customer are given below:

WX Y Z A 90 70 100 110 B 80 160 180 50 C 35 100 95 130 Find the optimal allocation between the different warehouses and the customers.

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