As shown in the diagram, S represents a water station located on a straight coast on land, and E is the location of a water tank on a resort island. To supply water from S to E, a piping system is to be installed which runs down the coast horizontally on land from S to P and then goes underwater from P to E. If the cost of piping installation on land is $1.50 per foot and the cost of underwater piping is $2.50 per foot, locate the point P (by solving for x) so that it will result in a minimum cost of piping installation.
As shown in the diagram, S represents a water station located on a straight coast on land, and E is the location of a water tank on a resort island. To supply water from S to E, a piping system is to be installed which runs down the coast horizontally on land from S to P and then goes underwater from P to E. If the cost of piping installation on land is $1.50 per foot and the cost of underwater piping is $2.50 per foot, locate the point P (by solving for x) so that it will result in a minimum cost of piping installation.
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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As shown in the diagram, S represents a water station located on a straight coast on land, and E is the location of a water tank on a resort island. To supply water from S to E, a piping system is to be installed which runs down the coast horizontally on land from S to P and then goes underwater from P to E. If the cost of piping installation on land is $1.50 per foot and the cost of underwater piping is $2.50 per foot, locate the point P (by solving for x) so that it will result in a minimum cost of piping installation.
Transcribed Image Text:Island
E
3000
Land
-10,000-x-
10,000'
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