Teaching Notes



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Solutions (continued)


16. The distances are ranked as:

A, B 20 ft.


All other neighbour pairs 40 ft.
All pairs next to neighbours 60 ft.

. .
. .


. .

Assign 3,5 as close as possible. The next highest number of trips is between 2 and 6. There are many choices: C, D, E, F.



The next highest number of trips is between 1 and 4. So:



The next highest number of trips is between 4 and 6. This narrows the choices to:



The next highest number of trips is 1 and 5. This fixes all departments:



17. Because the opposite trip needs to go around the hall, complementing it, and because the distance of going around the hall is the same, it follows that a reasonable approach ill use the absolute value of difference between loads in the opposite direction.




(Difference
in loads)

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