In: Math
An oil refinery is located 1 km north of the north bank of a
straight river that is 2 km wide. A pipeline is to be constructed
from the refinery to storage tanks located on the south bank of the
river 9 km east of the refinery. The cost of laying pipe is
$200,000 per km over land to a point P on the north bank
and $400,000 per km under the river to the tanks. To minimize the
cost of the pipeline, how far downriver from the refinery should
the point P be located? (Round the answer to two decimal
places.)
km