1. A family with the three members 1, 2, and 3 considers buying a car. They have to decide between getting a car of type A, B, or C. Family member 1 has the following transitive preferences: A >1 B >-1 C. Analogously, for members 2 and 3: B > 2 C > 2 A and C 73 A >3 B respectively. The "family preference ordering" >F is defined so that x >F y if and only if a majority of family members prefers x to y. Is the resulting relation >F complete and transitive? Can you represent them by a utility function? Why (not)