An oil refinery is located on the north bank of a straight river that is 1 km wide . A pipeline is to be constructed from the refinery to storage tanks located on the south of the river 6 km east of the refinery . The cost of laying pipe is 500, 000 per km over the land to point P on the north bank and 1,000,000 per km under the river to the tanks . To minimize the cost of the pipeline , how far from the refinery should P be located ?

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