1. Can Albert's choices be represented by any utility function? If so, find a utility function that represents his choices. If not, explain why by finding contradictions in the implications of his choices. 2. Do Albert's choices violate Axiom a or 3? 3. Can Brittney's choices be represented by any utility function? If so, find a utility function that represents her choices. If not, explain why by finding contradictions in the implications of her choices.

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Question 1.
Below are the choices made by Albert, Brittney, and Calvin when choosing from
different sets of fruits.
Menu
(1)
(2)
(3)
(4) Apple, Banana, Pear
1.
Apple, Banana
Banana, Pear
Apple, Pear
6.
Albert's choices Brittney's choices Calvin's choices
Apple, Banana
Apple
Pear
Apple
Pear
Banana
Apple
Banana
Apple
Banana
Apple
Apple
Can Albert's choices be represented by any utility function? If
so, find a utility function that represents his choices. If not, explain why
by finding contradictions in the implications of his choices.
Do Albert's choices violate Axiom a or 3?
2.
3.
Can Brittney's choices be represented by any utility function?
If so, find a utility function that represents her choices. If not, explain
why by finding contradictions in the implications of her choices.
Do Brittney's choices violate Axiom a or 3?
4.
5.
Can Calvin's choices be represented by any utility function? If
so, find a utility function that represents his choices. If not, explain why
by finding contradictions in the implications of his choices.
Do Calvin's choices violate Axiom a or 3?
Transcribed Image Text:Question 1. Below are the choices made by Albert, Brittney, and Calvin when choosing from different sets of fruits. Menu (1) (2) (3) (4) Apple, Banana, Pear 1. Apple, Banana Banana, Pear Apple, Pear 6. Albert's choices Brittney's choices Calvin's choices Apple, Banana Apple Pear Apple Pear Banana Apple Banana Apple Banana Apple Apple Can Albert's choices be represented by any utility function? If so, find a utility function that represents his choices. If not, explain why by finding contradictions in the implications of his choices. Do Albert's choices violate Axiom a or 3? 2. 3. Can Brittney's choices be represented by any utility function? If so, find a utility function that represents her choices. If not, explain why by finding contradictions in the implications of her choices. Do Brittney's choices violate Axiom a or 3? 4. 5. Can Calvin's choices be represented by any utility function? If so, find a utility function that represents his choices. If not, explain why by finding contradictions in the implications of his choices. Do Calvin's choices violate Axiom a or 3?
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