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A dairy firm has three plants located in a state. The daily milk production at each plant is as follows:Plant P1: 6 litres Plant P2: 1 litres Plant P3: 10 litresEach day, the firm must fulfill the needs of its four distribution centres. The minimum requirement of each centre is as follows:Distribution centre, D1: 7 litres Distribution centre, D2: 5 litresDistribution centre, D3: 3 litres Distribution centre, D4: 2 litresCost (in hundreds of rupees) of shipping one litre from each plant to each distribution centre is given in the following table.Distribution Centre Distribution Centre Distribution Centre Distribution Centre Distribution Centre Distribution CentrePlant D1 D2 D3 D4Plant P1 2 3 11 7Plant P2 1 0 6 1Plant P3 5 8 15 9Finda) the initial basic feasible solution using VAM. [8]b) The optimal solution using MODI.

Question

A dairy firm has three plants located in a state. The daily milk production at each plant is as follows:Plant P1: 6 litres Plant P2: 1 litres Plant P3: 10 litresEach day, the firm must fulfill the needs of its four distribution centres. The minimum requirement of each centre is as follows:Distribution centre, D1: 7 litres Distribution centre, D2: 5 litresDistribution centre, D3: 3 litres Distribution centre, D4: 2 litresCost (in hundreds of rupees) of shipping one litre from each plant to each distribution centre is given in the following table.Distribution Centre Distribution Centre Distribution Centre Distribution Centre Distribution Centre Distribution CentrePlant D1 D2 D3 D4Plant P1 2 3 11 7Plant P2 1 0 6 1Plant P3 5 8 15 9Finda) the initial basic feasible solution using VAM. [8]b) The optimal solution using MODI.

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