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.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 60SE: A scientist places 50 cells in a petri dish. Every hour, the population increases by 1.5%. What will...
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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.

Island
E
3000
Land
-10,000-x-
10,000'
Transcribed Image Text:Island E 3000 Land -10,000-x- 10,000'
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