A society is composed of 2 individuals whose utility functions are given by u1(x1,x2)=x1x2andu2(x1,x2)=(3432)x41x243 Their aggregate wealth is w. (a) Suppose the central planner wants to maximize social welfare function W(u1,u2)=u1+u2. What is the optimal wealth distribution rule? (b) Find the indirect utility function for the representative consumer. (c) Suppose the current prices are p0=(16,1), and the central planner is thinking about implementing a new price system p1=(1,16). Should the change be implemented? A society is composed of 2 individuals whose utility functions are given by u1(x1,x2)=x1x2andu2(x1,x2)=(3432)x41x243 Their aggregate wealth is w. (a) Suppose the central planner wants to maximize social welfare function W(u1,u2)=u1+u2. What is the optimal wealth distribution rule? (b) Find the indirect utility function for the representative consumer. (c) Suppose the current prices are p0=(16,1), and the central planner is thinking about implementing a new price system p1=(1,16). Should the change be implemented