An oil drilling rig located 14 miles off of a straight coastline is to be connected by a pipeline to a refinery 10 miles down the coast from the point directly opposite the drilling rig. Assume that laying underwater pipe costs twice as much as laying pipe on land. What path should the pipe take in order to minimize the total cost of the pipeline? What is the minimum cost if pipe costs $60,000 per mile on land? Round mileage values to at least 4 decimal places. Round dollar values to 2 decimal places.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.7: Direct And Inverse Variation
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An oil drilling rig located 14 miles off of a straight coastline is to be connected by a pipeline to a refinery 10 miles down the coast from the point directly opposite the drilling rig. Assume that laying underwater pipe costs twice as much as laying pipe on land. What path should the pipe take in
order to minimize the total cost of the pipeline? What is the minimum cost if pipe costs $60,000 per mile on land? Round mileage values to at least 4 decimal places. Round dollar values to 2 decimal places.

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