Suppose there are two people in a society: Simon and Charity, whose total in- come is 200 dollars. The current distribution of income is such that they have 100 dollars each. For Simon, the utility function is of the form of Us = 40015-13 while for Charity, it is Uc = 4001C-1, where Ic and Is are amounts of income to Charity and Simon respectively. What is the optimal distribution of income if the social welfare function (W) is of the form W = aUs +Uc, a > 0. If I and I are the optimal income levels for Charity and Simon, plot the against a. Comment on your graph. What is the meaning of a as far as the equity is concerned? Suppose there are two people in a society: Simon and Charity, whose total in- come is 200 dollars. The current distribution of income is such that they have 100 dollars each. For Simon, the utility function is of the form of Us = 40015-13 while for Charity, it is Uc = 4001C-1, where Ic and Is are amounts of income to Charity and Simon respectively. What is the optimal distribution of income if the social welfare function (W) is of the form W = aUs +Uc, a > 0. If I and I are the optimal income levels for Charity and Simon, plot the against a. Comment on your graph. What is the meaning of a as far as the equity is concerned