In the following diagram, S represents the position of a power relay station located on a straight coast, and E shows the location of a marine biology experimental station on an island. A cable is to be laid connecting the relay station with the experimental station. If the cost of running the cable on land is $1.50/running foot and the cost of running the cable under water is $2.40/running foot, locate the point P that will result in a minimum cost (solve for x in ft). (Round your answer to the nearest whole number.) x= ____ ft
In the following diagram, S represents the position of a power relay station located on a straight coast, and E shows the location of a marine biology experimental station on an island. A cable is to be laid connecting the relay station with the experimental station. If the cost of running the cable on land is $1.50/running foot and the cost of running the cable under water is $2.40/running foot, locate the point P that will result in a minimum cost (solve for x in ft). (Round your answer to the nearest whole number.) x= ____ ft
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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Minimizing Cost of Laying Cable
In the following diagram, S represents the position of a power relay station located on a straight coast, and E shows the location of a marine biology experimental station on an island. A cable is to be laid connecting the relay station with the experimental station. If the cost of running the cable on land is $1.50/running foot and the cost of running the cable under water is $2.40/running foot, locate the point P that will result in a minimum cost (solve for x in ft). (Round your answer to the nearest whole number.)
x= ____ ft
Transcribed Image Text:Island
E
3000'
-10,000-x-
10,000'
Land
Xー
ft
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