Manuel's preferences satisfy the axioms of the standard model. He strictly prefers Twix to KitKat. He is indifferent between Bet₁ and Bet₂. He is indifferent between Bet₃ and Bet₄. He is indifferent between Bet₅ and Bet₆.

	UMich	MSU	Other
Bet1	Twix	KitKat	KitKat
Bet2	Kit Kat	Twix	KitKat
Bet3	Twix	Twix	KitKat
Bet4	Kit Kat	KitKat	Twix
Bet5	Snickers	Snickers	Snickers
Bet6	Twix	KitKat	Twix

Find a probability function (defined over {UM, MSU, Other}) and a utility function (defined over {Twix, KitKat, Snickers}) that together represent Manuel's preferences. Explain how you get your answer.