Find the initial solution of the given transportation problem using the 3 methods. Suppose a manufacturing company owns three factories (sources) and distribute his products to five different retail agencies (destinations). The following table shows the capacities of the three factories, the quantity of products required by the various retail agencies and the cost of shipping one unit of the product from each of the three factories to each of the five retail agencies. Factories 1 2 1 19 2 24 12 3 14 33 Requirement 100 60 Retail Agency 3 13 16 19 50 4 5 35 50 20 1 23 26 50 40 Capacity 50 100 150 300

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