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A company has four warehouses and six stores. The warehouses altogether have a surplus of 22 units of a given commodity, divided among them as

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A company has four warehouses and six stores. The warehouses altogether have a surplus of 22 units of a given commodity, divided among them as follows: Warehouses 1 2 3 4 Surplus 5 6 29 The six stores altogether need 22 units of the commodity. Individual requirements at stores 1. 2. 3. 4. 5 and 6 are 4. 4.6, 2. 4 and 2 units respectively. Cost of shipping one unit of commodity from warehouse i to store in rupees is given in the matrix below. f29 1 TABLE 3.38 Stores 3 4 9 6 6 5 9 9 12 10 2 7 3 7 7 5 5 Warehouses 3 6 5 9 11 3 11 6 8 11 2 2 10 () Formulate the mathematical model for the problem. (11) How should the products be shipped from the warehouses to the stores so that the transportation cost is minimum? Explain degeneracy in transportation technique in the context of this problem. How is degeneracy resolved? [PTU B.Tech., 2000. Dayalbagh Edu. Inst. M. Tech., 1998; P.U.B.E.(Elect.) 1996, (Mech.) 1996: Karn. U.B.E. (Mech.) 1995)

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