16 Nov 2021
Problem 35
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 wide. A pipeline is to be constructed from the refinery to storage tanks located on the south bank of the river 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.
Step-by-step explanation
Step 1.
According to the question, Draw the diagram of an oil refinery is located on the north bank of a straight river that is wide. A pipeline is to be constructed from the refinery to storage tanks located on the south bank of the river 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.
Using Pythagorean Theorem in right angled triangle
Because length can’t be negative.