Abstract
SummaryAround 1640, Torricelli found a geometrical solution to a problem allegedly formulated in the early 1600s by Fermat: Given three points in a plane, find a fourth point such that the sum of its distances to the three given points is as small as possible. Later, Simpson and Weber looked at the more general case of minimizing the sum of the transportation costs toward the three points. Here, we investigate an interesting special case using undergraduate mathematics.
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