A closed rectangular box to contain 16 ft³ is to be made o three kinds of materials. The cost of the material for the top and the botton is Php18 per square foot, the cost of the material for the front and the bacl is Php16 per square foot, and the cost of the material for the other two side is Php12 per square foot. Find the dimensions of the box such that the cos of the materials is a minimum.
A closed rectangular box to contain 16 ft³ is to be made o three kinds of materials. The cost of the material for the top and the botton is Php18 per square foot, the cost of the material for the front and the bacl is Php16 per square foot, and the cost of the material for the other two side is Php12 per square foot. Find the dimensions of the box such that the cos of the materials is a minimum.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A closed rectangular box to contain 16 ft³ is to be made of
three kinds of materials. The cost of the material for the top and the bottom
is Php18 per square foot, the cost of the material for the front and the back
is Php16 per square foot, and the cost of the material for the other two sides
is Php12 per square foot. Find the dimensions of the box such that the cost
of the materials is a minimum.
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