For each of the following set of preferences, ascertain whether they sat- isfy the assumptions laid out in class for there to exist a utility function representation. If not, explain which assumption they violate. (a) Gabie prefers a kitten to a chai latte. Gabie prefers a chai latte to a trip to ikea. Gabie prefers a trip to ikea to a kitten. (b) Elizabeth prefers Charles to Andrew. Elizabeth prefers William to Andrew. (c) Donald thinks 2 yachts is the perfect amount of yachts. He would rather have 2 yachts than 1 yacht or 3 yachts.