Three refineries with daily capacities of 6, 5, and 8 million gallons, respectively, supply three distribution areas with daily demands of 4, 8, and 7 million gallons, respectively. Gasoline is transported to the three distribution areas through a network of pipelines. The transportation cost is 10 cents per 1000 gallons per pipeline mile. Table 5.26 gives the mileage between the refineries and the distribution areas. Refinery 1 is not connected to distribution area 3. (a) Construct the associated transportation model. (b) Determine the optimum shipping schedule in the network.

Solve in Gurobi

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8. Three refineries with daily capacities of 6,5 , and 8 million gallons, respectively, supply three distribution areas with daily demands of 4,8 , and 7 million gallons, respectively. Gasoline is transported to the three distribution areas through a network of pipelines. The transportation cost is 10 cents per 1000 gallons per pipeline mile. Table 5.26 gives the mileage between the refineries and the distribution areas. Refinery 1 is not connected to distribution area 3. (a) Construct the associated transportation model. (b) Determine the optimum shipping schedule in the network. \begin{tabular}{cccc} \hline TABLE 5.26 & \multicolumn{3}{c}{ Mileage Chart for Problem 5-8 } \\ \hline & \multicolumn{4}{c}{ Distribution area } \\ & 1 & 2 & 3 \\ \cline { 2 - 4 } Refinery 1 & 180 & 180 & - \\ Refinery 2 & 300 & 800 & 900 \\ Refinery 3 & 220 & 200 & 120 \\ \hline \end{tabular}