A pipe must be buried underground to reach from a station on the shoreline to an outpost that is 5 miles down the shoreline and 2 miles into the ocean from the shoreline. It costs 3 times more per mile to bury the pipe under the ocean floor than it does to bury thepipe along the shoreline. How far along the shore should the pipe be buried before turningtowards the outpost if the goal is to minimize the cost?
A pipe must be buried underground to reach from a station on the shoreline to an outpost that is 5 miles down the shoreline and 2 miles into the ocean from the shoreline. It costs 3 times more per mile to bury the pipe under the ocean floor than it does to bury thepipe along the shoreline. How far along the shore should the pipe be buried before turningtowards the outpost if the goal is to minimize the cost?
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
Problem 5P
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A pipe must be buried underground to reach from a station on the shoreline to an outpost that is 5 miles down the shoreline and 2 miles into the ocean from the shoreline. It costs 3 times more per mile to bury the pipe under the ocean floor than it does to bury thepipe along the shoreline. How far along the shore should the pipe be buried before turningtowards the outpost if the goal is to minimize the cost?
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