The Flow and Distance Data in the Table Below Were

question 104

Essay

The flow and distance data in the table below were input into a layout software program, and solved by "pairwise comparison." That solution called for assignments A-4, B-1, C-3, and D-2, with a total movement of 2430. Verify that result. Is that solution optimal?
Can you offer an improved solution?
What is the total movement of your alternate solution?
$\begin{array}{|l|r|r|r|r|r|}\hline&&&&& \text { Fixed } \\\text { Flow Table } & \text { A } & \text { B } & \text { C } & \text { D } &\text{room}\\\hline\mathrm{A} & 0 & 5 & 8 & 3 \\\hline \mathrm{B} & 0 & 0 & 7 & 6 \\\hline \mathrm{C} & 0 & 2 & 0 & 9 \\\hline \mathrm{D} & 5 & 12 & 4 & 0 \\\hline & & & & \\\hline \text { Distance } & & & & \\\text { Table } & \text { Room 1 } & \text { Room 2 } & \text { Room 3 } & \text { Room 4 } \\\hline \text { Room 1 } & 0 & 30 & 60 & 80 \\\hline \text { Room 2 } & 30 & 0 & 30 & 50 \\\hline \text { Room 3 } & 60 & 30 & 0 & 20 \\\hline \text { Room 4 } & 80 & 50 & 20 &0\\\hline\end{array}$

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Definitions:

Central Role

A position of primary importance or function within a system, process, or organization.

Amygdala

A part of the brain involved in experiencing emotions, particularly fear and pleasure, and in forming emotional memories.

Imprinting

A rapid learning process occurring early in the life of certain animals, leading them to recognize a specific stimulus (often a parent) as an object of trust and focus.

Responsive And Sensitive

Being responsive and sensitive involves reacting quickly and appropriately to stimuli or emotional cues, showing an acute awareness of the feelings and needs of others.