An oil refinery is located 1 km north of the north bank of astraight river that is 2 km wide. A pipeline is to be constructedfrom the refinery to storage tanks located on the south bank of theriver 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 bankand $400,000 per km under the river to the tanks. To minimize thecost of the pipeline, how far downriver from the refinery shouldthe point P be located? (Round the answer to two decimalplaces.)
km