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 lar parcel with a square end that can be sent by mail? Such a package is shown below, with x and y measured inches. Assume y > x. What are the dimensions of the package of largest volume? y rmula for the volume of the parcel in terms of x and y. х^2 у cubic inches lem statement tells us that the parcel's girth plus length may not exceed 108 inches. In order to maximize volume, we assume that we will actually need the girth plus length to equal 108 inches. What equation does this involving x and y? - 4x+y=108 s equation for y in terms of x. 8-4x rmula for the volume V(x) in terms of x. x^2(108-4x) cubic inches he domain of the function V? Note that x must be positive and y > x; consider how these facts, and the constraint that girth plus length is 108 inches, limit the possible values for x. Give your answer using interval (0,27)
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 lar parcel with a square end that can be sent by mail? Such a package is shown below, with x and y measured inches. Assume y > x. What are the dimensions of the package of largest volume? y rmula for the volume of the parcel in terms of x and y. х^2 у cubic inches lem statement tells us that the parcel's girth plus length may not exceed 108 inches. In order to maximize volume, we assume that we will actually need the girth plus length to equal 108 inches. What equation does this involving x and y? - 4x+y=108 s equation for y in terms of x. 8-4x rmula for the volume V(x) in terms of x. x^2(108-4x) cubic inches he domain of the function V? Note that x must be positive and y > x; consider how these facts, and the constraint that girth plus length is 108 inches, limit the possible values for x. Give your answer using interval (0,27)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 61E: Police investigations A police officer seals off the scene of an accident using a roll of yellow...
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