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Quandaries & Queries
Q & Q
 Topic: optimize
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4 items are filed under this topic.

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 Lost in the woods 2012-01-12 From Liz:I am lost in the woods. I believe that I am in the woods 3 miles from a straight road. My car is located 6 miles down the road. I can walk 2miles/hour in the woods and 4 miles/hour along the road. To minimize the time needed to walk to my car, what point on the road should i walk to?Answered by Harley Weston. Minimize the cost 2008-04-26 From A:A power line is to be constructed from the shore of a lake to an island that is 500 m away. The closest powerline ends 4km along the shore from the point on the shore closest to the island. If it costs 5 times as much to lay the powerline underwater as along the shore, how should the line be installed to minimize the cost?Answered by Stephen La Rocque. Smallest cone containing a 4cm radius inscribed sphere 2007-12-19 From Eva:A sphere with a radius of 4cm is inscribed into a cone. Find the minimum volume of the cone.Answered by Stephen La Rocque. Optimization - carrying a pipe 2007-05-05 From A student:A steel pipe is taken to a 9ft wide corridor. At the end of the corridor there is a 90° turn, to a 6ft wide corridor. How long is the longest pipe than can be turned in this corner?Answered by Stephen La Rocque.

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