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arlettehl1011
07.11.2019 •
Business
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 5 km east of the refinery. the cost of laying pipe is $300,000/km over land to a point p on the north bank and $600,000/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.)
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Ответ:
The point p should be located to 4.42 km far from the refinery
Explanation:
Minimum of these costs occurs when x = 1/
, so distance should be m km to the east of the refinery.
m = 5 - x
m = 5 - 1/![\sqrt{3}](/tpl/images/0363/2809/ba4cb.png)
m = 4.42 km
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