Suppose that Beyonoe and Madonna have utility functions I; + 6"; In {5:} where J = B for Eteyonc-s'.I and J = M for Madonna. 1.1; is a private good and g is a public good. 33 = 2 and EM 2 4. Each of them has 112} units of the private good that can be transformed into units of the public good on a one to one basis. Consider four possible allocations of these goods; Allocation 1: g = {1.33 = EM = If} Allocation 2: g = 2,25 = 3M = Q Allocation 3: g = ,I5 = IUJM = '1 Allocation 4: g = 2,13 = 8, mm = 111} Which is Beyonce's preferred allocation? Does this mean that Beyonoe is a Utilitarian? Now suppose that Kanye who has utility function 31.: + 2 1n[g} joins with Eteyonc-s',I and Madonna to font a oommunity of three people. He has an endowment of ten units of :I.' and can propose a referendum with a majority vote over any pair of allocations. What will the outcome be? Does this mean that Kanye is a Utilitarian