Consider a two-consumer, two-good exchange economy. Utility functions and en dowments are u1(x1, x2) = (x1x2), e1 = (18,4) and u2(x1, x2) = ln(x1) +2ln(x2), (3,6). e2 = a) Characterise the set of Pareto-efficient allocations as completely as possible. b) Find a Walrasian equilibrium and compute the Walrasian equilibrium. c) Determine the utilities for the Walrasian allocation, the price ratios and MRS. Now assume that an exchange economy has three consumers and three goods. Consumers' utility functions and endowments are uj(X1, X2, X3) = min(x1,x2), u2(x1, x2, x3) = min(X2, X3), u3(X1, X2, X3) = min(x1,x3) and e1 = (1,0,0) and e2 = (0,1,0) and e3 = = (0,0,1). d) Find a Walrasian equilibrium and the associated Walrasian equilibrium allo- cation for this economy. e) Some discussion question about theorems of welfare economics