A family with three members 1,2 and 3 considers buying a car. They have to decide between getting a car of 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>3 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 & transitive? Can you represent them by a utility function? Why(not)?