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Transportation modelIn the obvious sense, the model deals with the determination of a minimum cost plan for transporting a single commodity from a number of sources (e.g. factories) to a number of destinations (example, warehouses).
The model can be extended in a direct manner to cover practical situations in the area of inventory control, employment arrangement, personnel assignment, cash flow, preparing, dam reservoir levels, and many others. The model also can be modified to account for multiple commodities. It is basically a LP that can be solved by the simplex method. Though, its special structure allows the development of a solution procedure called the transportation technique that is computationally more efficient. It must be emphasized that the "new" technique essentially follows the exact steps of the simplex method. It can be extended to cover a number of important applications, including the assignment model, the transhipment model. However, the transportation model and its extensions are also special cases of network models.
Painter Ltd, which manufactures and sells a single product, is currently producing and selling 102,000 units per month, which represents 85% of its full capacity. Total monthly cos
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