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A power line is to be constructed from a power station at point A to an island at point C, which is 5 mi directly out in the water from a point B on the shore. Point B is 8 mi downshore from the power station at A. It costs $2800 per mile to lay the power line under water and $2000 per mile to lay the line under ground. At what point S downshore from A should the line come to the shore in order to minimize cost? Note that S could very well be B or A. (Hint. The length of CS is 25+x) 8-X 8. S is (Round to two decimal places as needed.) miles from A.

A power line is to be constructed from a power station at point A to an island at point C, which is 5 mi directly out in the water from a point B on the shore. Point B is 8 mi downshore from the power station at A. It costs $2800 per mile to lay the power line under water and $2000 per mile to lay the line under ground. At what point S downshore from A should the line come to the shore in order to minimize cost? Note that S could very well be B or A. (Hint. The length of CS is 25+x) 8-X 8. S is (Round to two decimal places as needed.) miles from A.

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter7: Equations And Inequalities In Two Variables
Section7.3: Distance And Slope
Problem 69PS
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A power line is to be constructed from a power station at point A to an island at point C, which is 5 mi directly out in the water from a point B on the shore. Point B is 8 mi downshore from the power station at A. It costs $2800 per mile to lay the power line under water and $2000 per mile to lay the line under ground. At what point S downshore from A should the line come to the shore in order to minimize cost? Note that S could very well be 25+x) B or A. (Hint. The length of CS isV 8- x S is (Round to two decimal places as needed.) miles from A, Get more help - Clear all Check answer fese javascript:doExercise(7); e Type here to search
Transcribed Image Text:A power line is to be constructed from a power station at point A to an island at point C, which is 5 mi directly out in the water from a point B on the shore. Point B is 8 mi downshore from the power station at A. It costs $2800 per mile to lay the power line under water and $2000 per mile to lay the line under ground. At what point S downshore from A should the line come to the shore in order to minimize cost? Note that S could very well be 25+x) B or A. (Hint. The length of CS isV 8- x S is (Round to two decimal places as needed.) miles from A, Get more help - Clear all Check answer fese javascript:doExercise(7); e Type here to search
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