The volume of the box is 54 cubic inches. The material for the top cost $0.08 per square inch, for the bottom it cost $0.04 per square inch, and for the sides cost $0.04 per square inch. Find the width, length, and height of the box to minimize the cost. What is the width, length, and height of the rectanglar box.  The rectangular box is twice as long as it is wide.

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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The volume of the box is 54 cubic inches. The material for the top cost $0.08 per square inch, for the bottom it cost $0.04 per square inch, and for the sides cost $0.04 per square inch. Find the width, length, and height of the box to minimize the cost.

What is the width, length, and height of the rectanglar box. 

The rectangular box is twice as long as it is wide.

 

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