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 bank of the river 4 km east of the refinery. The cost of laying pipe is $500,000 per km over land to a 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? Part 1 of 8 If x measures the distance from the point directly across the river from the storage tanks to the point P where the underwater pipe reaches the opposite shore, then there are m = underwater. refinery m P 1 storage tanks Submit Skip (you cannot come back) km of pipe over land and n = km of pipe

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Chapter14: Fluid Mechanics
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4.6 Question 9

Tutorial Exercise
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 bank of the river 4 km east of the refinery. The cost of laying pipe is $500,000 per km over land
to a 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?
Part 1 of 8
If x measures the distance from the point directly across the river from the storage tanks to the point P where the underwater pipe reaches the opposite shore, then there are m =
underwater.
refinery
m
11
storage tanks
Submit Skip (you cannot come back)
km of pipe over land and n =
km of pipe
Transcribed Image Text:Tutorial Exercise 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 bank of the river 4 km east of the refinery. The cost of laying pipe is $500,000 per km over land to a 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? Part 1 of 8 If x measures the distance from the point directly across the river from the storage tanks to the point P where the underwater pipe reaches the opposite shore, then there are m = underwater. refinery m 11 storage tanks Submit Skip (you cannot come back) km of pipe over land and n = km of pipe
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