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An Airport Is Trying to Balance Where to Place Three

Question 149

Essay

An airport is trying to balance where to place three airlines. The distance between terminals and the number of trips that travelers make between airlines per day are listed. Find the assignment that minimizes the distance travelers must walk.
 Airline  A  B  C  Trips to A 6080 Trips to B 50120 Trips to C 10075 Terminal 123 Distance to Terminal 140005000 Distance to Terminal 240006000 Distance to Terminal 350006000\begin{array} { | l | l | l | l | } \hline \text { Airline } & \text { A } & \text { B } & \text { C } \\\hline \text { Trips to A } & -& 60 & 80 \\\hline \text { Trips to B } & 50 & - & 120 \\\hline \text { Trips to C } & 100 & 75 &- \\\hline \text { Terminal } & 1 & 2 & 3 \\\hline \begin{array} { l } \text { Distance to Terminal } \\1\end{array} &- &4000 &5000 \\\hline \begin{array} { l } \text { Distance to Terminal } \\2\end{array} & 4000 & -& 6000 \\\hline \begin{array} { l } \text { Distance to Terminal } \\3\end{array} & 5000 & 6000 &- \\\hline\end{array}

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