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A container manufacturer plans to make rectangular boxes whose bottom and top measure x by 3x. The container must contain 15 cm³. The top and the bottom will cost $2.20 per square centimeter, while the four sides will cost $2.40 per square centimeter. What should the height of the container be so as to minimize cost? Round your answer to the nearest hundredth. Answer cm Keypa Keyboard Shortc

A container manufacturer plans to make rectangular boxes whose bottom and top measure x by 3x. The container must contain 15 cm³. The top and the bottom will cost $2.20 per square centimeter, while the four sides will cost $2.40 per square centimeter. What should the height of the container be so as to minimize cost? Round your answer to the nearest hundredth. Answer cm Keypa Keyboard Shortc

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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A container manufacturer plans to make rectangular boxes whose bottom and top measure x by 3x. The container must contain 15 cm³. The top and the bottom will cost $2.20 per square centimeter, while the four sides will cost $2.40 per square centimeter. What should the height of the container be so as to minimize cost? Round your answer to the nearest hundredth. Answer cm Keypa Keyboard Shortc
Transcribed Image Text:A container manufacturer plans to make rectangular boxes whose bottom and top measure x by 3x. The container must contain 15 cm³. The top and the bottom will cost $2.20 per square centimeter, while the four sides will cost $2.40 per square centimeter. What should the height of the container be so as to minimize cost? Round your answer to the nearest hundredth. Answer cm Keypa Keyboard Shortc
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