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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 ft³. The top and the bottom will cost $2.80 per square foot, while the four sides will cost $4.50 per square foot. What should the height of the container be so as to minimize cost? Round your answer to the nearest hundredth. Kaynad

A container manufacturer plans to make rectangular boxes whose bottom and top measure x by 3x. The container must contain 15 ft³. The top and the bottom will cost $2.80 per square foot, while the four sides will cost $4.50 per square foot. What should the height of the container be so as to minimize cost? Round your answer to the nearest hundredth. Kaynad

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
Problem 5P
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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 ft³. The top and the bottom will cost $2.80 per square foot, while the four sides will cost $4.50 per square foot. What should the height of the container be so as to minimize cost? Round your answer to the nearest hundredth. ft Keypad Keyboard Shortcuts
Transcribed Image Text:A container manufacturer plans to make rectangular boxes whose bottom and top measure x by 3x. The container must contain 15 ft³. The top and the bottom will cost $2.80 per square foot, while the four sides will cost $4.50 per square foot. What should the height of the container be so as to minimize cost? Round your answer to the nearest hundredth. ft Keypad Keyboard Shortcuts
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