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 $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 (in km) from the refinery should P be located? Step 1 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 = km of pipe over land and n = pipe underwater. km of
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 $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 (in km) from the refinery should P be located? Step 1 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 = km of pipe over land and n = pipe underwater. km of
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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
$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 (in km) from the refinery should P be located?
Step 1
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 =
km of pipe over land and n =
pipe underwater.
Submit
refinery
ㅏ
Skip (you cannot come back)
m
4
P
1
storage tanks
i
km of
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