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.
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.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.2: Pyramids, Area, And Volume
Problem 29E
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Hello, i am having a little bit of trouble solving this problem about calculus, can you help me answer this problem?
![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 mațerials is a minimum.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F61aae5a2-60bf-4f93-bde1-900fe53a1280%2F163db2a7-6a3c-4f20-bc71-226f7632daf7%2Fhs7r9o_processed.png&w=3840&q=75)
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 mațerials is a minimum.
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