Yang's Material Company hauls gravel to a construction site, using a small truck and a large truck. The carrying capacity and operating cost per load are given in the accompanying table. Yang must deliver a minimum of 450 cubic yards per day to satisfy his contract with the builder. The union contract with his drivers requires that the total number of loads per day is a minimum of 10. How many loads should be made in each truck per day to minimize the total cost? Capacity (yd³) Cost per Load Small Truck Large Truck 90 50 $75 $46 C... In order to minimize the total cost, the number of loads in a small truck that should be made is and the number of loads in a large truck that should be made is

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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Yang's Material Company hauls gravel to a construction site using a small truck and a large truck. The carrying capacity and operating cost per load are given in the accompanying table. Yang must deliver a minimum of 450 cubic yards per day to satisfy his contract with the builder. The union contract with his drivers requires that the total number of loads per day is a minimum of 10. How many loads should be made in each truck per day to minimize the total cost?

|                  | Small Truck | Large Truck |
|------------------|-------------|-------------|
| Capacity (yd³)   | 50          | 90          |
| Cost per Load    | $75         | $46         |

In order to minimize the total cost, the number of loads in a small truck that should be made is [____] and the number of loads in a large truck that should be made is [____].
Transcribed Image Text:Yang's Material Company hauls gravel to a construction site using a small truck and a large truck. The carrying capacity and operating cost per load are given in the accompanying table. Yang must deliver a minimum of 450 cubic yards per day to satisfy his contract with the builder. The union contract with his drivers requires that the total number of loads per day is a minimum of 10. How many loads should be made in each truck per day to minimize the total cost? | | Small Truck | Large Truck | |------------------|-------------|-------------| | Capacity (yd³) | 50 | 90 | | Cost per Load | $75 | $46 | In order to minimize the total cost, the number of loads in a small truck that should be made is [____] and the number of loads in a large truck that should be made is [____].
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