A truck unloads 20m³ of gravel at a landfill. You, who own the truck, plan to purchase an uncovered box in which to transport the gravel on multiple trips. Your cost is the cost of the box plus $2.00 per trip. The box must be half a meter high, but you can choose the length and width. The cost of the box will be $20.00 per square meter for the front and back; and $10.00 per square meter for the bottom and sides. What should be the dimensions of the box you should purchase to minimize your total costs?

A truck unloads 20m³ of gravel at a landfill. You, who own the truck, plan to purchase an uncovered box in which to transport the gravel on multiple trips. Your cost is the cost of the box plus $2.00 per trip. The box must be half a meter high, but you can choose the length and width. The cost of the box will be $20.00 per square meter for the front and back; and $10.00 per square meter for the bottom and sides. What should be the dimensions of the box you should purchase to minimize your total costs?

Solid Waste Engineering

3rd Edition

ISBN:9781305635203

Author:Worrell, William A.

Publisher:Worrell, William A.

Chapter9: Toward Integrated Resources Management—environmental, Political, And Economic Issues

Section: Chapter Questions

Problem 9.12P

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