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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 2 km east of the refinery. The cost of laying pipe is $ \$ $400,000 /km over land to a point $ P $ on the north bank and $ \$ $800,000 /km under the river to the tanks. To minimize the cost of the pipeline, where should $ P $ be located?

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05:32

Wen Zheng

Calculus 1 / AB

Calculus 2 / BC

Chapter 4

Applications of Differentiation

Section 7

Optimization Problems

Derivatives

Differentiation

Volume

Campbell University

Oregon State University

University of Nottingham

Lectures

04:35

In mathematics, the volume of a solid object is the amount of three-dimensional space enclosed by the boundaries of the object. The volume of a solid of revolution (such as a sphere or cylinder) is calculated by multiplying the area of the base by the height of the solid.

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A review is a form of evaluation, analysis, and judgment of a body of work, such as a book, movie, album, play, software application, video game, or scientific research. Reviews may be used to assess the value of a resource, or to provide a summary of the content of the resource, or to judge the importance of the resource.

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An oil refinery is located…

06:08

08:45

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A company needs to run an …

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Minimum Cost An offshore o…

13:09

Consider the situation in …

01:07

A pipeline is to be constr…

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A power plant is located o…

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