A closed rectangular box is made with two kinds of materials. The top and bottom are made with heavy-duty cardboard costing 20¢ per square foot, and the sides are made with lightweight cardboard costing 10¢ per square foot. Given that the box is to have a capacity of 2 cubic feet, what should its dimensions be if the cost is to be minimized?
A closed rectangular box is made with two kinds of materials. The top and bottom are made with heavy-duty cardboard costing 20¢ per square foot, and the sides are made with lightweight cardboard costing 10¢ per square foot. Given that the box is to have a capacity of 2 cubic feet, what should its dimensions be if the cost is to be minimized?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A closed rectangular box is made with
two kinds of materials. The top and bottom are made with
heavy-duty cardboard costing 20¢ per square foot, and the
sides are made with lightweight cardboard costing 10¢ per
square foot. Given that the box is to have a capacity of
2 cubic feet, what should its dimensions be if the cost is to
be minimized?
![31. Construction Cost A closed rectangular box is made with
two kinds of materials. The top and bottom are made with
heavy-duty cardboard costing 20¢ per square foot, and the
sides are made with lightweight cardboard costing 10¢ per
square foot. Given that the box is to have a capacity of
2 cubic feet, what should its dimensions be if the cost is to
be minimized? [HINT: See Example 4.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faa62b4db-1806-4b73-97da-21d126374ec4%2Fb73457be-1a3f-45b4-944a-51c8d9dc4009%2Fwymcam9_processed.png&w=3840&q=75)
Transcribed Image Text:31. Construction Cost A closed rectangular box is made with
two kinds of materials. The top and bottom are made with
heavy-duty cardboard costing 20¢ per square foot, and the
sides are made with lightweight cardboard costing 10¢ per
square foot. Given that the box is to have a capacity of
2 cubic feet, what should its dimensions be if the cost is to
be minimized? [HINT: See Example 4.]
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