The U.S. Postal Service states that the girth plus the length of Standard Post Package must not exceed 130". Given a rectangular box, the "length" is the longest side, and the "girth" is twice the sum of the width and the height. Given a rectangular box where the width and height are equal, what are the dimensions of the box that give the maximum volume subject to the constraint of the size of a Standard Post Package?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
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Chapter1: Equations, Inequalities, And Mathematical Modeling
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Problem 22T: On the first part of a 350-kilometer trip, a salesperson travels 2 hours and 15 minutes at an...
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The U.S. Postal Service states that the girth plus the length of Standard
Post Package must not exceed 130". Given a rectangular box, the "length"
is the longest side, and the "girth" is twice the sum of the width and
the height. Given a rectangular box where the width and height are equal,
what are the dimensions of the box that give the maximum volume
subject to the constraint of the size of a Standard Post Package?
Transcribed Image Text:The U.S. Postal Service states that the girth plus the length of Standard Post Package must not exceed 130". Given a rectangular box, the "length" is the longest side, and the "girth" is twice the sum of the width and the height. Given a rectangular box where the width and height are equal, what are the dimensions of the box that give the maximum volume subject to the constraint of the size of a Standard Post Package?
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