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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 2 km east of the refinery. The cost of laying pipe is $200,000/km over land to a point P on the north bank and the cost is double under the river to the tanks. To minimize the cost of the pipeline, where should Refinery P? P be located? 1km

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 2 km east of the refinery. The cost of laying pipe is $200,000/km over land to a point P on the north bank and the cost is double under the river to the tanks. To minimize the cost of the pipeline, where should Refinery P? P be located? 1km

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.1: Prisms, Area And Volume
Problem 27E: The box with dimensions indicated is to be constructed of materials that cost 1 cent per square inch...
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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 2 km east of the refinery. The cost of laying pipe is $200,000/km over land to a point P on the north bank and the cost is double under the river to the tanks. To minimize the cost of the pipeline, where should O Refinery P be located? 1km Storage tanks 2km
Transcribed Image Text: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 2 km east of the refinery. The cost of laying pipe is $200,000/km over land to a point P on the north bank and the cost is double under the river to the tanks. To minimize the cost of the pipeline, where should O Refinery P be located? 1km Storage tanks 2km
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