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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 13T
icon
Related questions
Question
100%

Hello, can you answer this problem using second derivative test? Im having a hard time trying to figure this one, thanks!

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.
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Similar questions
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill