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?

Fundamentals Of Construction Estimating
4th Edition
ISBN:9781337399395
Author:Pratt, David J.
Publisher:Pratt, David J.
Chapter10: Pricing Excavation And Backfill
Section: Chapter Questions
Problem 7RQ
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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?

 
 

 

 

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