An oil refinery is located on the north bank of straight river that is 2 in wide. A pipeline is to be constructed from the refinery to storage tanks located on the south banking the river 8 km east of the refinery. The cost of laying pipe is $400,000/km over land to a point P on the north bank and $800,000/km under the river to the tanks. To minimize the cost of the pipeline, how far from the refinery should P be locsted?
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