We want to construct a box whose base length is three times the base width. The material used to build the top and bottom cost $10/ft² and the material to build the sides cost $6/ft2. If the box must have volume 50 ft°, what is the minimum cost of the box? We start by drawing a picture of the box.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter84: Binary Numeration System
Section: Chapter Questions
Problem 5A
icon
Related questions
Question

Optimization

We want to construct a box whose base length is three times the base width. The material used to build the top and
bottom cost $10/ft² and the material to build the sides cost $6/ft?. If the box must have volume 50 ft°, what is the
minimum cost of the box?
We start by drawing a picture of the box.
Transcribed Image Text:We want to construct a box whose base length is three times the base width. The material used to build the top and bottom cost $10/ft² and the material to build the sides cost $6/ft?. If the box must have volume 50 ft°, what is the minimum cost of the box? We start by drawing a picture of the box.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
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,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning