An oil refinery is located 1 km north 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 $400.00/km over land to a point P on the north bank and $800.00/km under the river to the tanks. To minimize the cost of the pipeline, where should P be located?
An oil refinery is located 1 km north 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 $400.00/km over land to a point P on the north bank and $800.00/km under the river to the tanks. To minimize the cost of the pipeline, where should P be located?
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.CR: Review Exercises
Problem 41CR
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An oil refinery is located 1 km north 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 $400.00/km over land to a point P on the north bank and $800.00/km under the river to the tanks. To minimize the cost of
the pipeline, where should P be located?
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