A power line is to be run to an offshore facility as shown
in the figure above. The offshore facility is
miles at sea and miles
along the shoreline from the power
plant. It costs $40,000 per mile to lay a power
line underground and $80,000 per mile to
run the line underwater.
How much of the power line should be run underground, and
how much underwater to minimize the overall costs?
You can earn partial credit on this problem.