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Maximum volume box Suppose an airline policy states that

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 12E Chapter 4.4

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 12E

Maximum volume box Suppose an airline policy states that all baggage must be box-shaped with a sum of length, width, and height not exceeding 108 in. What are the dimensions and volume of a square-based box with the greatest volume under these conditions?

Step-by-Step Solution:

Solution Step 1: Consider a square box having width l,length l and height h Sum of width,breadth and height of box is constraint,S=2l+h which is not exceeding 108 Therefore 2l+h=108 Volume of square based box is objective function,V=l h 2 The objective is to find the dimension and volume of a box having greatest volume

Step 2 of 4

Chapter 4.4, Problem 12E is Solved
Step 3 of 4

Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

The answer to “Maximum volume box Suppose an airline policy states that all baggage must be box-shaped with a sum of length, width, and height not exceeding 108 in. What are the dimensions and volume of a square-based box with the greatest volume under these conditions?” is broken down into a number of easy to follow steps, and 43 words. The full step-by-step solution to problem: 12E from chapter: 4.4 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. This full solution covers the following key subjects: box, Volume, must, airline, conditions. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. Since the solution to 12E from 4.4 chapter was answered, more than 319 students have viewed the full step-by-step answer.

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Maximum volume box Suppose an airline policy states that