A power line is to be constructed from a power station at point A to an island at point C which is 4 mi directly out in the water from a point B on the shore. Point B is 4 mi downshore from the power station at A. It costs $3200 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 √(16+x²)
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the answer of the question is that c
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