You have been asked to design a rectangular box with a square base and an open top.The volume of the box must be 620 cm. The cost of the material for the base is $0.40 per square centimeter and the cost of the material for the sides is $0.10 per square centimeter. Determine the dimensions of the box that will minimize the cost of manufacturing. What is the minimum cost? Give your answer in dollars, rounded to the nearest cent. Provide your answer below:
You have been asked to design a rectangular box with a square base and an open top.The volume of the box must be 620 cm. The cost of the material for the base is $0.40 per square centimeter and the cost of the material for the sides is $0.10 per square centimeter. Determine the dimensions of the box that will minimize the cost of manufacturing. What is the minimum cost? Give your answer in dollars, rounded to the nearest cent. Provide your answer below:
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids
Section: Chapter Questions
Problem 79A
Related questions
Question
13
Transcribed Image Text:Question
You have been asked to design a rectangular box with a square base and an open top.The
volume of the box must be 620 cm. The cost of the material for the base is $0.40 per
square centimeter and the cost of the material for the sides is $0.10 per square
centimeter. Determine the dimensions of the box that will minimize the cost of
manufacturing. What is the minimum cost? Give your answer in dollars, rounded to the
nearest cent.
Provide your answer below:
I FEEDBACK
MORE INSTRUCTION
SUBMIT
Content attribution
• Previous
Next
Book Pro
Search or type URL
3
8.
个
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell