A box with a square base and a top is to made to enclose 160 cubic inches. The cost of the material for the top is  4 times the cost of the material used for the base and sides. What should the height (in inches) of the box be in order to minimize the cost of making the box?

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 box with a square base and a top is to made to enclose 160 cubic inches. The cost of the material for the top is  4 times the cost of the material used for the base and sides. What should the height (in inches) of the box be in order to minimize the cost of making the box?

 

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