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A power house cable runs from point P to a factory at point F located on...

A power house cable runs from point P to a factory at point F located on the opposite bank of a river
200 metres wide and located 400 metres down stream from P. If it costs $12 per metre to lay the cable
under the water and $6 per metre to run the cable along the bank find the length of the cable which
runs under water if the total cost is a minimum.

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