32. Packaging. A parcel delivery service will deliver a package only if the length plus girth (distance around) does not exceed 108 inches. (A) Find the dimensions of a rectangular box with square ends that satisfies the delivery service's restriction and has maximum volume. What is the maximum volume? (B) Find the dimensions (radius and height) of a cylin- drical container that meets the delivery service's requirement and has maximum volume. What is the maximum volume?

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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Length
| 34
Girth
Figure for 32
Transcribed Image Text:Length | 34 Girth Figure for 32
32. Packaging. A parcel delivery service will deliver a package
only if the length plus girth (distance around) does not exceed
108 inches.
(A) Find the dimensions of a rectangular box with square
ends that satisfies the delivery service's restriction
and has maximum volume. What is the maximum
volume?
(B) Find the dimensions (radius and height) of a cylin-
drical container that meets the delivery service's
requirement and has maximum volume. What is the
maximum volume?
Transcribed Image Text:32. Packaging. A parcel delivery service will deliver a package only if the length plus girth (distance around) does not exceed 108 inches. (A) Find the dimensions of a rectangular box with square ends that satisfies the delivery service's restriction and has maximum volume. What is the maximum volume? (B) Find the dimensions (radius and height) of a cylin- drical container that meets the delivery service's requirement and has maximum volume. What is the maximum volume?
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