A paving company delivers gravel for a road construction project. The company has a large truck and a small truck. The large truck has a greater capacity, but costs more for fuel to operate. The load capacity and cost to operate each truck per load are given in the table.
Load Capacity | Cost per load | |
---|---|---|
Small Truck | 18 yd3 | $120 |
Large Truck | 24 yd3 | $150 |
The company must deliver at least 288 yd3 of gravel to stay on schedule. Furthermore, the large truck takes longer to load and cannot make as many trips as the small truck. As a result, the number of trips made by the large truck is at most
a. Determine the number of trips that should be made by the large tuck and the number of trips that should be made by the small truck to minimize cost.
b. What is the minimum cost to deliver gravel under these constraints?
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