Coach Steroid likes his players to be big, fast, and obedient. If player A is better than player B in two of these three characteristics, then Coach Steroid prefers player A to player B (A > B). But, if player B is better than player A in two of these three characteristics, then Coach Steroid prefers B to A (BA). Otherwise, Coach Steroid is indifferent between players (A ~ B). Wilbur Westinghouse (WW) weight 340 pounds, runs very slowly, and is fairly obedient. Harold Hotpoint (HH) weighs 240 pounds, runs very fast, and is very disobedient. Jerry Jacuzzi (JJ) weighs 150 pounds, runs at average speed, and is extremely obedient. a) Does Coach Steroid prefer Wilbur Westinghouse to Hotpoint or vice versa? Explain. b) Does Coach Steroid prefer Harold Hotpoint to Jerry Jacuzzi or vice versa? Explain. c) Does Coach Steroid prefer Wilbur Westinghouse to Jerry Jacuzzi or vice versa? Explain. d) Does Coach Steroid have transitive preferences? Explain.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Coach Steroid likes his players to be big, fast, and obedient. If player A is
better than player B in two of these three characteristics, then Coach Steroid prefers player A to
player B (A > B). But, if player B is better than player A in two of these three characteristics, then
Coach Steroid prefers B to A (B > A). Otherwise, Coach Steroid is indifferent between players
(A ~ B).
Wilbur Westinghouse (WW) weight 340 pounds, runs very slowly, and is fairly obedient. Harold
Hotpoint (HH) weighs 240 pounds, runs very fast, and is very disobedient. Jerry Jacuzzi (JJ)
weighs 150 pounds, runs at average speed, and is extremely obedient.
a) Does Coach Steroid prefer Wilbur Westinghouse to Hotpoint or vice versa? Explain.
b) Does Coach Steroid prefer Harold Hotpoint to Jerry Jacuzzi or vice versa? Explain.
c) Does Coach Steroid prefer Wilbur Westinghouse to Jerry Jacuzzi or vice versa? Explain.
d) Does Coach Steroid have transitive preferences? Explain.
After several losing seasons, Coach Steroid decides to change his way of judging players.
According to his new preferences, Steroid prefers player A to player B if player A is better in all
three of the characteristics that Steroid values, and he prefers B to A if player B is better at all three
things. He is indifferent between A and B if they weigh the same, are equally fast, and equally
obedient. In all other cases, Coach Steroid simply says: "A and B are not comparable."
e) Are Coach Steroid's new preferences complete? Explain.
f) Are Coach Steroid's new preference transitive? Explain.
Transcribed Image Text:Coach Steroid likes his players to be big, fast, and obedient. If player A is better than player B in two of these three characteristics, then Coach Steroid prefers player A to player B (A > B). But, if player B is better than player A in two of these three characteristics, then Coach Steroid prefers B to A (B > A). Otherwise, Coach Steroid is indifferent between players (A ~ B). Wilbur Westinghouse (WW) weight 340 pounds, runs very slowly, and is fairly obedient. Harold Hotpoint (HH) weighs 240 pounds, runs very fast, and is very disobedient. Jerry Jacuzzi (JJ) weighs 150 pounds, runs at average speed, and is extremely obedient. a) Does Coach Steroid prefer Wilbur Westinghouse to Hotpoint or vice versa? Explain. b) Does Coach Steroid prefer Harold Hotpoint to Jerry Jacuzzi or vice versa? Explain. c) Does Coach Steroid prefer Wilbur Westinghouse to Jerry Jacuzzi or vice versa? Explain. d) Does Coach Steroid have transitive preferences? Explain. After several losing seasons, Coach Steroid decides to change his way of judging players. According to his new preferences, Steroid prefers player A to player B if player A is better in all three of the characteristics that Steroid values, and he prefers B to A if player B is better at all three things. He is indifferent between A and B if they weigh the same, are equally fast, and equally obedient. In all other cases, Coach Steroid simply says: "A and B are not comparable." e) Are Coach Steroid's new preferences complete? Explain. f) Are Coach Steroid's new preference transitive? Explain.
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