Carrboro has three groups of people: (1) Type A people consistently prefer more police protection to less (H>M>L); (2) Type B people prefer either high levels or low levels of police protection to less (H>L>M); (3) Type C people prefer medium levels to either high or low levels (M>H>L).
a) Is this social preference profile single-peaked?
b) Will majority voting generate consistent outcomes in this case? Why or why not?