Explanation Given: h = 10 c m A B = 900 c m Calculation: It is given that h = 10 c m and A B = 900 c m . The value of B can be written as B = 900 A c m The volume of the box is given by V ( A ) = 10 ( A − 20 ) × ( 900 A − 20 ) V ( A ) = 13000 − 200 A − 180000 A From the above relation it is clear that A ≤ 20 ≤ 45 For the maximization, we differentiate the above equation and equate to zero

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ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 4.6, Problem 59E

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To find the value of A and B that maximizes the volume of the given box.

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Chapter 4.6, Problem 58E

Chapter 4.6, Problem 60E

Chapter 4 Solutions

CALCULUS (CLOTH)

Ch. 4.1 - Prob. 1PQ Ch. 4.1 - Prob. 2PQ Ch. 4.1 - Prob. 3PQ Ch. 4.1 - Prob. 4PQ Ch. 4.1 - Prob. 1E Ch. 4.1 - Prob. 2E Ch. 4.1 - Prob. 3E Ch. 4.1 - Prob. 4E Ch. 4.1 - Prob. 5E Ch. 4.1 - Prob. 6E

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To find the value of A and B that maximizes the volume of the given box.

Solution Summary: The author explains the value of AandB that maximizes the volume of the given box.

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To find the value of A and B that maximizes the volume of the given box.

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Chapter 4 Solutions