L (50 points) Consider the following exchange economy. There are two consumers 1 and 2 with utility functions and endowments given below. w = (3.0) w2 = (0,1). (1) Write down two consumers' utility maximization problems and find individual demand functions for both goods. (2) Find market excess demand functions for both goods and check whether they are homogeneous of degree zero in prices. (3) Does Walras' law hold for this economy? Justify your answer. (4) Find Walrasian equilibrium prices and allocation. (5) Draw the graph of Walrasian equilibrium in the Edgeworth box diagram. (5) Write down an optimization problem that you can use to find Pareto efficient allocations of this economy. (6) Find the set of Pareto efficient allocations for this economy and draw its graph