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Suppose an airline policy states that all baggage must be box-shaped with a sum of length, width, and height not exceeding 72 in. What are the dimensions and volume of a square-based box with the greatest volume under these conditions? Write a function for the volume V of the box in terms of w, one of the edges of the square bottom. V= (Type an expression.) The interval of interest of the objective function is. (Simplify your answer. Type your answer in interval notation.) The length of the square-end edge is in. The box height is in. The greatest volume of the box is in.

Suppose an airline policy states that all baggage must be box-shaped with a sum of length, width, and height not exceeding 72 in. What are the dimensions and volume of a square-based box with the greatest volume under these conditions? Write a function for the volume V of the box in terms of w, one of the edges of the square bottom. V= (Type an expression.) The interval of interest of the objective function is. (Simplify your answer. Type your answer in interval notation.) The length of the square-end edge is in. The box height is in. The greatest volume of the box is in.

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section: Chapter Questions
Problem 24P: In these problems you are to find a function that models a real-life situation and then use the...
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Suppose an airline policy states that all baggage must be box-shaped with a sum of length, width, and height not exceeding 72 in. What are the dimensions and volume of a square-based box with the greatest volume under these conditions? Write a function for the volume V of the box in terms of w, one of the edges of the square bottom. V = (Type an expression.) The interval of interest of the objective function is (Simplify your answer. Type your answer in interval notation.) The length of the square-end edge is in. The box height is in. The greatest volume of the box is in3.
Transcribed Image Text:Suppose an airline policy states that all baggage must be box-shaped with a sum of length, width, and height not exceeding 72 in. What are the dimensions and volume of a square-based box with the greatest volume under these conditions? Write a function for the volume V of the box in terms of w, one of the edges of the square bottom. V = (Type an expression.) The interval of interest of the objective function is (Simplify your answer. Type your answer in interval notation.) The length of the square-end edge is in. The box height is in. The greatest volume of the box is in3.
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