A courier service will deliver a package only if the length plus girth does not exceed 69 inches. Find the dimensions of a rectangular box with square ends that satisfy the courier service’s restriction and have maximum volume. (if l is the longest dimension, then girth = 2 × (sum of the lengths of the shorter sides))

College Algebra
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ISBN:9781337282291
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Chapter4: Rational Functions And Conics
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A courier service will deliver a package only if the length plus girth does not exceed 69 inches. Find the dimensions of a rectangular box with square ends that satisfy the courier service’s restriction and have maximum volume.

(if l is the longest dimension, then girth = 2 × (sum of the lengths of the shorter sides))

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