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 18 yd 24 yd Small truck $120 Large truck $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 times the number of trips made by the small truck. a. Determine the number of trips that should be made by the large truck 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?

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 18 yd 24 yd Small truck $120 Large truck $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 times the number of trips made by the small truck. a. Determine the number of trips that should be made by the large truck 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?

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

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
18 yd
24 yd
Small truck
$120
Large truck
$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
times the number of trips made by the small truck.
a. Determine the number of trips that should be made by the large truck 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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