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31* A Sunco oil delivery truck contains five compartments, holding up to 2.700, 2.800, 1,100, 1,800, and 3,400 gallons of fuel. respectively. The company must

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31* A Sunco oil delivery truck contains five compartments, holding up to 2.700, 2.800, 1,100, 1,800, and 3,400 gallons of fuel. respectively. The company must deliver three types of fuel (super, regular, and unleaded) to a customer. The demands, penalty per gallon short, and the maximum allowed shortage are given in Table 29. Each compartment of the truck can carry only one type of gasoline. Formulate an IP whose solution will tell Sunco how to load the truck in a way that minimizes shortage costs. TABLE 29 Cost per Type of Gasoline Demand Gallon Short (S) Shortage Super 2,900 10 500 Regular 4.000 500 Unleaded 4.900 500

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