An oil refinery is located 1 km north of the north bank of a straight river that

Question

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 7 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 downriver from the refinery should the point P be located? (Round your answer to two decimal places.)
km

Explanation / Answer

, for min cost , there should be min construction over water ,

thus , construction over water = 2 km

and , construction over land = 8 km

thus min cost = 2*800000+ 8*400000 = 4800000 dollar

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