A company plans to manufacture closed rectangular boxes that have volume 24 cubic feet. The cost per square foot of the material to be used is $ 3 for the top & b of the box and $1 for the remaining four sides of the box. Let a, b and c be the dimensions of the box that will Minimize the production cost, find a + b + c.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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Question 29
A company plans to manufacture closed rectangular boxes that have
volume 24 cubic feet.
The cost per square foot of the material to be used is $ 3 for the top & bottom
of the box and $ 1 for the remaining four sides of the box.
Let a, b and c be the dimensions of the box that will Minimize the
production cost, find a + b + c.
Enter your answer without units.
Enter an integer or a fully reduced fraction such as -2, 7, -3/4, 41/7 etc.
Transcribed Image Text:Question 29 A company plans to manufacture closed rectangular boxes that have volume 24 cubic feet. The cost per square foot of the material to be used is $ 3 for the top & bottom of the box and $ 1 for the remaining four sides of the box. Let a, b and c be the dimensions of the box that will Minimize the production cost, find a + b + c. Enter your answer without units. Enter an integer or a fully reduced fraction such as -2, 7, -3/4, 41/7 etc.
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