An offshore oil well is located 6 miles into the ocean from the closest point (Point P) on the coast. Oil will be piped form the well to a facility 8 miles down the coast from point P. A path for the pipeline must be determied from the facility to the well, with some of the pipe on land (along the shoreline) and some through the water. If it costs $100,000 per mile for the pipe under water, and $75,000 per mile for pipe over land, determine the path for the pipe from the facility to the well that minimizes the cost.