The city of Durham is trying to determine the optimal amount of policing to have in the city and is requesting a vote from its citizens. There are three equal sized groups of people with different preferences for policing. The first group (1) prefers more police protection to less. The second group (2) prefers high level of policing to low levels, but prefers low to medium levels. The third group (3) prefers medium levels to low levels and prefer low modesty over high levels of policing. a)Any of the three group have single-peaked preferences? Who? b) Will majority (pair-wise) voting generate consistent outcomes in the city of Durham?