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 $2.45/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.) 3000 Land ft Island 10.000-x- 10,000

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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 $2.45/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.)
3000
Land
ft
Island
P
10,000-x-
10,000
Transcribed Image Text: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 $2.45/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.) 3000 Land ft Island P 10,000-x- 10,000
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