Coach Rocknute likes his football players fast, big, and obedient. If player A is better than player B in two of these three characteristics, then Coach Rocknute prefers A to B, but if B is better than A in any two of these three characteristics, the Coach Rocknute prefers B to A. Otherwise, Coach Rocknute is indifferent between them.

 

Coach Bearant also likes his players fast, big, and obediant. Coach Bearant prefers player A to player B if A is better in all three characteristics, and he prefers player B to player A if B is better in all three characteristics. He is indifferent between A and B if they weigh the same, are equally fast, and equally obedient. In all other cases, Coach Bearant simply says, "A and B are not comparable".

 

Coaches Rocknute and Bearant are choosing to draft players for their respective teams.

 

Bo weighs 340 pounds, runs very slowly, and is fairly obedient.

Hersch weighs 240 pounds, runs very fast, and is very disobedient.

Odell weighs 150 pounds, runs at average speed, and is extremely obedient.

Question 4 options:

1) Coach Rocknute's preference relation is transitive but not complete; Coach Bearant's preference relation is complete & transitive.

2) Coach Rocknute's preference relation is complete & transitive; Coach Bearant's preference relation is complete & transitive.

3) Coach Rocknute's preference relation is complete but not transitive; Coach Bearant's preference relation is complete but not transitive.

4) Coach Rocknute's preference relation is transitive but not complete; Coach Bearant's preference relation is transitive but not complete.

5) Coach Rocknute's preference relation is complete but not transitive; Coach Bearant's preference relation is transitive but not complete.