2. Consider the Cobb-Douglas utility function U = [Y' - T']]-Go with 0

2. Consider the Cobb-Douglas utility function U = (Y' TillQGa with O < a < 1. Suppose that a poll tax T = T' for all i is levied on each of N members of society, Tax revenues are used to finance a public good G = Ei a. b. c. Show that the majority voting outcome involves the amount of public good G = QIVYm, where Y m denotes the before-tax income of the median voter. Now suppose that a proportional income tax Ti = tyt is levied. Show that the majority voting outcome involves the amount of public good G = QIVY, where Y is mean income level When income is uniformly distributed, which outcome is closest to the efficient outcome?