According to U.S. postal regulations, the girth plus the length of a parcel sent by mail may not exceed 108 inches, where by "girth" we mean the perimeter of the smallest end. What is the largest possible volume of a rectangular parcel with a square end that can be sent by mail? What are the dimensions of the package of largest volume? We are given this important information: "the girth plus the length of a parcel sent by mail may not exceed 108 inches, where by "girth" we mean the perimeter of the smallest end." Which rough sketch fits this information? E108 E108

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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The problem tells us that the parcel's girth plus length may not exceed 108 inches.
In order to optimize, we assume that we will actually need the girth plus length to equal 108
inches.
What equation does this produce?
Use variables æ (the length of one side of the square end of the box) and y (the length of the longer
side of the box).
O 108 = x²y, or y :
108
%3!
O 108
TI° y, or y
108
O 108 = 4x + y, or y = 108
4x
Transcribed Image Text:The problem tells us that the parcel's girth plus length may not exceed 108 inches. In order to optimize, we assume that we will actually need the girth plus length to equal 108 inches. What equation does this produce? Use variables æ (the length of one side of the square end of the box) and y (the length of the longer side of the box). O 108 = x²y, or y : 108 %3! O 108 TI° y, or y 108 O 108 = 4x + y, or y = 108 4x
According to U.S. postal regulations, the girth plus the length of a parcel sent by mail may not exceed
108 inches, where by "girth" we mean the perimeter of the smallest end. What is the largest possible
volume of a rectangular parcel with a square end that can be sent by mail? What are the dimensions of
the package of largest volume?
We are given this important information: "the girth plus the length of a parcel sent by mail may not
exceed 108 inches, where by "girth" we mean the perimeter of the smallest end."
Which rough sketch fits this information?
E108
E108
Transcribed Image Text:According to U.S. postal regulations, the girth plus the length of a parcel sent by mail may not exceed 108 inches, where by "girth" we mean the perimeter of the smallest end. What is the largest possible volume of a rectangular parcel with a square end that can be sent by mail? What are the dimensions of the package of largest volume? We are given this important information: "the girth plus the length of a parcel sent by mail may not exceed 108 inches, where by "girth" we mean the perimeter of the smallest end." Which rough sketch fits this information? E108 E108
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