You are constructing a cardboard box from a piece of cardboard with the dimensions 2 m by 4 m. You then cut equal-size squares from each corner so you may fold the edges. What are the dimensions (in m) of the box with the largest volume? shorter side longer side height 2 m X X X X m 3 3 4 m X X X

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
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Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
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Set up and evaluate the optimization problem.
You are constructing a cardboard box from a piece of cardboard with the dimensions 2 m by 4 m. You then cut equal-size squares from each corner so you may fold the
edges. What are the dimensions (in m) of the box with the largest volume?
shorter side
longer side
height
2 m
X
X
X
X
ε ε ε
4 m
X
X
X
X
Transcribed Image Text:Set up and evaluate the optimization problem. You are constructing a cardboard box from a piece of cardboard with the dimensions 2 m by 4 m. You then cut equal-size squares from each corner so you may fold the edges. What are the dimensions (in m) of the box with the largest volume? shorter side longer side height 2 m X X X X ε ε ε 4 m X X X X
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