Suppose that there are three voters with a < a? < a, and three possible unidimensional policies q1 < q2 < q3. Construct the preferences of the voters over the policies {q;}j=1,2,3 such that: a. [1 pts] both single peaked preferences and single crossing property are satisfied. Also, verify the Condorcet winner. b. [3 pts] both single peaked preferences and single crossing property are violated and there is no Condorcet winner. Please verify that there is no Condorcet winner. c. [4 pts] both single peaked preferences and single crossing property are violated but there is a Condorcet winner. Also verify the winner.