An island is 3 mi from the nearest point on a straight shoreline; that point is 16 mi from a power station (see figure). A Utility company plans to lay electrical cable underwater from the island to the shore and then underground along the shore to the power station. Assume that is costs $2600/mi to lay cable underwater and $1300/mi to lay underground cable. At what point The cost is minimized when x is mi. should the underwater cable meet the shore to minimize the cost of the project? Let x be the distance from the shoreline closest to the island and the point where the cable leaves the shore. (Type an exact answer.) Island The minimum installation cost is S (Round to the nearest cent as needed.) Cable 3 mi Power Station 16 mi
An island is 3 mi from the nearest point on a straight shoreline; that point is 16 mi from a power station (see figure). A Utility company plans to lay electrical cable underwater from the island to the shore and then underground along the shore to the power station. Assume that is costs $2600/mi to lay cable underwater and $1300/mi to lay underground cable. At what point The cost is minimized when x is mi. should the underwater cable meet the shore to minimize the cost of the project? Let x be the distance from the shoreline closest to the island and the point where the cable leaves the shore. (Type an exact answer.) Island The minimum installation cost is S (Round to the nearest cent as needed.) Cable 3 mi Power Station 16 mi
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:An island is 3 mi from the nearest point on a straight shoreline; that point is 16 mi from a
power station (see figure). A Utility company plans to lay electrical cable underwater from the
island to the shore and then underground along the shore to the power station. Assume that is
costs $2600/mi to lay cable underwater and $1300/mi to lay underground cable. At what point The cost is minimized when x is
should the underwater cable meet the shore to minimize the cost of the project?
Let x be the distance from the shoreline closest to the island and the point where the cable
leaves the shore.
mi.
(Type an exact answer.)
Island
The minimum installation cost is $
(Round to the nearest cent as needed.)
Cable
3 mi
Power
Station
16 mi
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
