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) = X12*Y1/2 And consumer B's utility function is given by Us(X, Y) = X3/4*Y1/4 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. Px =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