“An oil platform is located at point W, which is 5 km from the nearest point A on a straight shoreline. Oil must be transported through a pipeline from W to point B along the shoreline, which is 8 km from A. This should be done by transporting the oil first from W to a point P between A and B and then from P to B (see attached drawing). The cost of laying the pipeline under water is twice as large as the cost of laying it on land. Where should point P be located so that the costs of laying the pipes will be as low as possible?”
“An oil platform is located at point W, which is 5 km from the nearest point A on a straight shoreline. Oil must be transported through a pipeline from W to point B along the shoreline, which is 8 km from A. This should be done by transporting the oil first from W to a point P between A and B and then from P to B (see attached drawing). The cost of laying the pipeline under water is twice as large as the cost of laying it on land. Where should point P be located so that the costs of laying the pipes will be as low as possible?”
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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“An oil platform is located at point W, which is 5 km from the nearest point A on a straight shoreline. Oil must be transported through a pipeline from W to point B along the shoreline, which is 8 km from A. This should be done by transporting the oil first from W to a point P between A and B and then from P to B (see attached drawing). The cost of laying the pipeline under water is twice as large as the cost of laying it on land. Where should point P be located so that the costs of laying the pipes will be as low as possible?”
Transcribed Image Text:A
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-8km-
B
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