Suppose the legislature uses simple majority rule when they vote on new policy proposals (i.e. at least three out of five legislators need to vote in favor for the proposal to pass). What policy will the leader propose in equilibrium? Explain. (Hint: legislators C and D are effectively veto players since the leader, legislator E, needs their approval for her policy proposal to pass) (b) Suppose the legislature uses super majority rule when they vote on new policy proposals such that at least four out of five legislators need to vote in favor for the proposal to pass. What policy will the leader propose in equilibrium? Explain. (Hint: legislators B, C and D are effectively veto players since the leader, legislator E, needs their approval for her policy proposal to pass) (c) Is the median member of the legislature (legislator C) better or worse off under majority rule or super majority rule? (d) Explain in no more than 5 sentences how this question helps us understand why a simple majority in the U.S. Senate has not removed the filibuster rule