A company plans to manufacture rectangular boxes with no top that have volume 12 cubic feet. The cost per square foot of the material to be used is $ 3 for the 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. No spaces please

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 43PS
icon
Related questions
Question
A company plans to manufacture rectangular boxes with no top that have
volume 12 cubic feet.
The cost per square foot of the material to be used is $3 for the 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.
No spaces please
Transcribed Image Text:A company plans to manufacture rectangular boxes with no top that have volume 12 cubic feet. The cost per square foot of the material to be used is $3 for the 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. No spaces please
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 7 steps with 5 images

Blurred answer
Recommended textbooks for you
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
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
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
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt