1. (15 points) Susan has three small kids, Alice, Bob and Charles. The coming weekend they are planning to go for some fun outing. There are three possible choices - visit to Angrinion Park (A), visit to the biodome, (B), or visit to the cinema (C). Susan can pick only one of the three. Each of the kids i, where i e { Alice, Bob, Charles } has a "strict" preference >; relation over the choices A, B, C. Susan's preference relation > Susan is derived from the preference relation of her kids. We will now consider one specific way in which Susan derives her preference. . Susan's preference relation > Susan is derived in the following manner: for any pair of alternatives r, y e {A, B, C}, I > Susan y if and only if at for at least two of her kids i and j, ry & => j y. In other words, Susan will prefer a over y if at least two of her kids rank r above y. Here i and j are Susan's kids, that is i, j e { Alice, Bob, Charles}. The question for you is the following: in the instance cited above, is the relation > Susan complete and transitive