16. An offshore well is located in the ocean at a point W which is six miles from the closest shore point A on a straight shoreline. The oil is to be piped to a shore point B that is eight miles from A by piping it on a straight line under water from W to some shore point P between A and B and then on to B via a pipe along the shoreline. If the cost of laying pipe is $100,000 per mile under water and $75,000 per mile over land, how far from A should the point P be located to minimize the cost of laying the pipe? What will the cost be? A 6 mi.l 8 mi.
16. An offshore well is located in the ocean at a point W which is six miles from the closest shore point A on a straight shoreline. The oil is to be piped to a shore point B that is eight miles from A by piping it on a straight line under water from W to some shore point P between A and B and then on to B via a pipe along the shoreline. If the cost of laying pipe is $100,000 per mile under water and $75,000 per mile over land, how far from A should the point P be located to minimize the cost of laying the pipe? What will the cost be? A 6 mi.l 8 mi.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:16. An offshore well is located in the ocean at a point W
which is six miles from the closest shore point A on a
straight shoreline. The oil is to be piped to a shore
point B that is eight miles from A by piping it on a
straight line under water from W to some shore point P
between A and B and then on to B via a pipe along the
shoreline. If the cost of laying pipe is $100,000 per mile
under water and $75,000 per mile over land, how far
from A should the point P be located to minimize the
cost of laying the pipe? What will the cost be?
A
6 mi.
B
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