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Where shall we meet?

Published online by Cambridge University Press:  01 August 2016

Anthony C. Robin
Anthony C. Robin*
Affiliation:
County High School for Girls, Colchester, Essex CO3 3 US
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Extract

Suppose that a group of friends live along a straight road and that they wish to meet somewhere on that road. They wish to choose the meeting place so that they do not have to travel too far; there are several criteria which they could use:

  • (1) Make the total distance travelled as small as possible.

  • (2) Make the greatest distance any individual travels as small as possible.

  • (3) Minimise the total of the squares of the distances travelled.

Type
Research Article
Information
The Mathematical Gazette , Volume 74 , Issue 468 , June 1990 , pp. 106 - 111
Copyright
Copyright © The Mathematical Association 1990

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