Problem of the Week

Rodin's "Thinker" contemplates the problem of the week.

WEEK THREE: Over the River

Solutions due by high noon on Friday, February 17, 2012.

A power house P is on one bank of a straight river 200 meters wide, and a factory F is on the opposite bank 400 meters downstream from P.  A cable connecting them has to be taken across the river, under water at a cost of $6 per meter.  On land the cost is $3 per meter. What path should be chosen so that the cost is minimized?

This problem is brought to you by Maegan Bos.

Submit your solutions to Maegan Bos.  You may submit either a hard copy or an electronic file.  Good luck!

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