A steel company has three open hearth furnaces and five rolling mills. The transportation costs for shipping steel from furnaces to rolling mills are given in the table below. Determine the optimum shipping schedule. (6 marks) \begin{tabular}{|c|c|c|c|c|c|c|} \hline & M1 & M2 & M3 & M4 & M5 & Supply \\ \hline F1 & 4 & 2 & 3 & 2 & 6 & 8 \\ \hline F2 & 5 & 4 & 5 & 2 & 1 & 12 \\ \hline F3 & 6 & 5 & 4 & 7 & 7 & 14 \\ \hline Demands & 4 & 4 & 6 & 8 & 8 & \\ \hline \end{tabular}
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Consider the transportation problem in which two factories supply three stores with a commodity. The numbers of supply units available at sources 1 and 2 are 200 and 300; those demanded at stores 1, 2, and 3 are 100, 200, and 50, respectively. Units may be trans-shipped among the factories and the stores before reaching their final destination. Find the optimal shipping schedule based on the unit costs in the following Table. TABLE 5.45 Data for Problem 4
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