2. (30 total points) Suppose there are two consumers, A and B, and two goods, X and Y. Consumer A is given an initial endowment of 5 units of good X and 9 units of good Y. Consumer B is given an initial endowment of 3 units of good X and 7 units of good Y. Consumer A's utility function is given by: UA(X,Y) = X1/2*Y1/25 And consumer B's utility function is given by UB(X,Y) = X3/4*YU4. a) (8 points) Suppose the price of good Y is equal to one. Calculate the price of good X that will lead to a competitive equilibrium. v H b) (8 points) How much of each good does each consumer demand in equilibrium? Consumer A's Demand for X: Consumer A's Demand for Y: Consumer B's demand for X: Consumer B's demand for Y: c) ( 14 points) Using an Edgeworth Box, illustrate - The Budget Constraint - The Initial Endowment (W) . The Competitive Equilibrium (D) Label the initial endowment \"W\" and label the Competitive Equilibrium \"\".D Make sure your graph is clearly and accurately labeled