5. A Sunco oil delivery truck contains five compartments, holding up to 2700, 28

Question

5. A Sunco oil delivery truck contains five compartments, holding up to 2700, 2800, 1100, 1800, and 3400 gallons of fuel, respectively. Sunco 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 the table below. Each compartments of the truck can carry only one type of gasoline. Formulate an integer- programming model whose solution will tell Sunco how to load the truck in a way that minimizes shortage costs.

Explanation / Answer

Super - 2800

Regular - 2700 + 1100

Unleaded - 3400 + 1800

Shortage Penalty = 1000 in Super and 1600 in Regular = 2600

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