Use the following information to answer the next questions:

Suppose society consists of two individuals, A and B, who must split a fixed income of $150.Individual A's marginal utility of income is given by MU_A=400-I_A and individual B's marginal utility of income is given by MU_B=600-6I_B.Suppose the social welfare function is W=U_A+U_B.

39. What is the optimal distribution of income to individual A? $ ______________

40. What is the optimal distribution of income to individual B? $ ______________

41. What is social welfare at the optimal distribution of income? $ ______________

What if the social welfare function is, instead, W=U_A.

42. What is social welfare at the optimal distribution of income? $ ______________

What if the social welfare function is, instead, W=U_B.

43. What is social welfare at the optimal distribution of income? $ _______________

What if the social welfare function is, instead, W=min(U_A,U_B).

44. Then equity in the distribution of income would be synonymous with equality of ____________.

What if the social welfare function is, instead, W=U_A+2.6U_B and individual B's marginal utility is, instead, MU_B=200-I_B.

45. What is the optimal distribution of income to individual A? $ _______________

46. What is the optimal distribution of income to individual B? $ _______________

47. Equity in the distribution of income would be synonymous with equality of ____________.