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You are constructing a 12 cubic feet box with five wooden sides and a glass front. If the wood costs $5 per square foot and the glass costs $10 per square foot, what dimensions should you use to minimize the cost of the materials?

You are constructing a 12 cubic feet box with five wooden sides and a glass front. If the wood costs $5 per square foot and the glass costs $10 per square foot, what dimensions should you use to minimize the cost of the materials?

Advanced Engineering Mathematics
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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3. You are constructing a 12 cubic feet box with five wooden sides and a glass front. If the wood costs $5 per square foot and the glass costs $10 per square foot, what dimensions should you use to minimize the cost of the materials?
Transcribed Image Text:3. You are constructing a 12 cubic feet box with five wooden sides and a glass front. If the wood costs $5 per square foot and the glass costs $10 per square foot, what dimensions should you use to minimize the cost of the materials?
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