16 Nov 2021
Problem 36
Page 307
Section 4.6: Optimization Problems
Chapter 4: Applications of Differentiation
Textbook ExpertVerified Tutor
16 Nov 2021
Given information
An oil refinery is located on 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 6 km east of the refinery.
The cost of laying pipe is 
over land to a point 
on the north bank and 
under the river to the tanks.
The refinery is located 1 km north of the river. To minimize the cost of the pipeline, where should be located?
Step-by-step explanation
Step 1.
We proceed from the figure above drawn as per given information.
We have cost of laying pipes under water = Twice the cost of laying pipes over land.
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
- Problem 1a
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