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Consider a 2-person 2-good economy. The consumer's utility functions are given by UA (XAa YA) = 5XAYA UB(XB, Y3) 2 2X3 + 2Y3 Person A's initial endowments are given by \"LUX,A = 3 'IUY,A = 2 Person B's initial endowments are given by wX,B = 3 wY,B = 4 a) (4 pt) Draw an appropriately sized Edgeworth box. Illustrate the initial endowment point and label it E. Make sure you appropriately label the axes. You might want to use a ruler or straight edge. b) (4 pt) Draw and label an indifference curve for each consumer that goes through the initial endowment point, E. Hint: Note that consumer B's utility function represents perfect substitutes. c) (2 pt) On your graph, mark the points that are Pareto improvements over the initial endowment. d) (4 pt) Derive an equation describing all Pareto optimal allocations (contract curve). Hint: In this question, you may find that you do not need to use your feasibility (total endowment) conditions to find the contract curve, using the MRS equations will be enough. e) (3 pt) Assume that the price of good X is 1. Find the equilibrium price of good Y. f) (4 pt) Find the equilibrium quantity of Good X and Y that ConsumerA consumes. g) (4 pt) Find the equilibrium quantity of Good X and Y that Consumer B consumes. Hint: You will need your feasibility conditions here. Hint: Parts d) through g) represent the standard steps for solving a General Equilibrium/Edgeworth box question. Breaking it into steps is designed to give you helpful guideposts, not change the