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Question
An oil delivery truck contains five compartments, holding up to 2800, 2900, 1200, 1800, and 3200 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 shown in the table below. Each compartment of the truck can carry only one type of gasoline. Determine how to load the truck in a way that minimizes shortage costs.| Demand | Cost (Gallon short) | Maximum shortage allowed | |
| Super | 3000 | $9 | 400 |
| Regular | 4000 | $7 | 400 |
| Unleaded | 5000 | $5 | 400 |
Answer
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