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A container manufacturer plans to make rectangular boxes whose bottom and top measure 4x by x. The container must contain 12 cm³. The top and the bottom will cost $3.80 per square centimeter, while the four sides will cost $4.30 per square centimeter. What should the height of the container be so as to minimize cost? Round your answer to the nearest hundredth.

A container manufacturer plans to make rectangular boxes whose bottom and top measure 4x by x. The container must contain 12 cm³. The top and the bottom will cost $3.80 per square centimeter, while the four sides will cost $4.30 per square centimeter. What should the height of the container be so as to minimize cost? Round your answer to the nearest hundredth.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A container manufacturer plans to make rectangular boxes whose bottom and top measure 4x by x. The container must contain 12 cm³. The top and the bottom will cost $3.80 per square centimeter, while the four sides will cost $4.30 per square centimeter. What should the height of the container be so as to minimize cost? Round your answer to the nearest hundredth. Answer Keypad Keyboard Shortcu ст
Transcribed Image Text:A container manufacturer plans to make rectangular boxes whose bottom and top measure 4x by x. The container must contain 12 cm³. The top and the bottom will cost $3.80 per square centimeter, while the four sides will cost $4.30 per square centimeter. What should the height of the container be so as to minimize cost? Round your answer to the nearest hundredth. Answer Keypad Keyboard Shortcu ст
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