Question: A power line is to be constructed from a power station at point A to an island at point C, which is 1 mi directly

 A power line is to be constructed from a power station

A power line is to be constructed from a power station at point A to an island at point C, which is 1 mi directly out in the water from a point B on the shore. Point B is 6 mi downshore from the power station at A. It costs $3600 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 $ could very well be B or A. (Hint. The length of CS is ~ 1 - x) 6 -X 6 S is miles from A (Round to two decimal places as needed.)

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