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Topic: POW Solution, January 3-7
Replies: 2   Last Post: Jan 14, 1994 4:01 PM

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 Bill Richardson Posts: 3 Registered: 12/3/04
Re: POW Solution, January 3-7
Posted: Jan 14, 1994 4:01 PM

The solutions to this problem were well done. The ingenuity of
minimizing the distance the water is carried is an important
consideration. This solution is also one that in real life could
be used.

The "mathematically correct" solutions that were given would be very
difficult to implement in real life for this particular problem;
however, it is very important that students see this solution since
there are problems in life similar to this one in which the true
minimum distance is needed. In the problem posed, it should be noted
that the same technique can be used in a "practical" way by reflecting
the position of the tent through the river. This can be done visually
by the camper with reasonable acuracy and the camper can run toward
this point until he or she reaches the river, then get water and
run to the tent. Thus, there are actually two points along the river
that offer solutions. The students should verify that these are
indeed equal solutions.

A similar problem in which a true minimum would be the proper and
desireable solution might be for X and Y to represent off-shore
oil rigs and a company wishes to build a refinery on shore to receive
the oil using the least amount of pipe. (Note the possibility of two
solutions. When will there be only one solution?)

Bill Richardson

Date Subject Author
1/10/94 Problem of the Week
1/14/94 Problem of the Week
1/14/94 Bill Richardson