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August 29, 2015

Homework Help: Calculus Optimization

Posted by John on Wednesday, March 17, 2010 at 1:48pm.

An electric utility is required to run a cable from a transformer station on the shore of a lake to an island. The island is 6 km from the shore and the station is 12 km down the shoreline from a point opposite the island. It costs $4000/km to run the cable on land and $6000/km underwater. Find the path the cable should take for a minimum cost of installation.

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