(Taha) 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 1 gives the mileage between the refineries and the distribution areas. Refinery 1 is not connected to distribution area 3. Construct the associated transportation problem model. Make sure you give the network, indicate the supply/demand at each node, and give the cost and capacity for each arc. Area 1 Area 2 Area 3 Refinery 1 120 180 Refinery 2 300 100 Refinery 3 200 250 80 120 Table 1: Distance between refineries and distribution areas (pipeline miles)

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