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A resort on the bank of a river 300 m wide, needs to run a waterline across the river and 500 m upstream. They will build the waterline straight across the river to some point P and then run the waterline along side the river for the remaining distance. If it costs $ 13/m to build the pipeline underwater and $5 /m to lay the pipe on the shore, how far up river should the point P be to minimize the construction cost? (a) The point P should be upstream m.

A resort on the bank of a river 300 m wide, needs to run a waterline across the river and 500 m upstream. They will build the waterline straight across the river to some point P and then run the waterline along side the river for the remaining distance. If it costs $ 13/m to build the pipeline underwater and $5 /m to lay the pipe on the shore, how far up river should the point P be to minimize the construction cost? (a) The point P should be upstream m.

Advanced Engineering Mathematics
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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A resort on the bank of a river 300 m wide, needs to run a waterline across the river and 500 m upstream. They will build the waterline straight across the river to some point P and then run the waterline along side the river for the remaining distance. If it costs $ 13 /m to build the pipeline underwater and $5 /m to lay the pipe on the shore, how far up river should the point P be to minimize the construction cost? (a) The point P should be upstream m.
Transcribed Image Text:A resort on the bank of a river 300 m wide, needs to run a waterline across the river and 500 m upstream. They will build the waterline straight across the river to some point P and then run the waterline along side the river for the remaining distance. If it costs $ 13 /m to build the pipeline underwater and $5 /m to lay the pipe on the shore, how far up river should the point P be to minimize the construction cost? (a) The point P should be upstream m.
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