Solution: A small city airport is served by four airlines. The terminal is rather spread out, with boarding areas located on an x y coordinate grid at


Question: A small city airport is served by four airlines. The terminal is rather spread out, with boarding areas located on an x y coordinate grid at \(A=(1,4), B=(5,5)\), \(C=(8,3)\), and \(D=(8,1)\). The number of flights per day, of approximately equal capacity, is \(A=28, B=22, C=36\), and \(D=18\). A new central baggage claim area is under construction.

  1. Using the metropolitan metric, recommend a location for the new baggage claim area that will minimize the total weighted distance from the boarding areas.
  2. Using the euclidian metric and the result found in part a as an initial solution, find the optimum location assuming vector travel.

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