You want to build a 1200 square foot rectangular infinity pool. Three of the sides will have regular pool walls, and the fourth side will have the infinity pool wall. Regular pool walls cost $12 per foot (regardless of how deep the pool is), and the infinity pool wall costs $25 per foot (regardless of depth). How long should you make the infinity wall so that you minimize your costs? It should be feet (Round answer to nearest tenth.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
Help
You want to build a 1200 square foot rectangular infinity pool. Three of the sides will have regular pool walls, and the fourth side will have the infinity pool
wall. Regular pool walls cost $12 per foot (regardless of how deep the pool is), and the infinity pool wall costs $25 per foot (regardless of depth). How
long should you make the infinity wall so that you minimize your costs?
It should be feet
(Round answer to nearest tenth.)
Transcribed Image Text:You want to build a 1200 square foot rectangular infinity pool. Three of the sides will have regular pool walls, and the fourth side will have the infinity pool wall. Regular pool walls cost $12 per foot (regardless of how deep the pool is), and the infinity pool wall costs $25 per foot (regardless of depth). How long should you make the infinity wall so that you minimize your costs? It should be feet (Round answer to nearest tenth.)
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,