Transportation problem with production costs (not the usual transportation problem). Two factories are manufacturing and applying a single type of good to four warehouses in different parts of the country. The factories can produce a1 and a2 units of the good each month and the warehouse need b1, b, b3, and b4 units each month. The monthly total of goods available from the two factories exceeds the total of the monthly demands at the four warehouses. The costs of supplying one unit of the good from factory i to ware house j is Cij. So far the problem posed is the problem you have seen in this chapter. The twist in this problem is that the two factories have different factors of production. Their energy and labor costs are very different, with one of the factories having much higher electricity rates and employee wages. The costs of production of one unit of the good at factories 1 and 2 are d1 and d2. Structure the objective function and constraints for this problem in expanded form (without the summation signs)
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