Consider an economy with L = 2 goods and M = 2 consumers. Consumer i = 1 and i = 2 have utility functions u(x11, X12): u2(x21, X22) = == 1 + X12 (3) where x = (x, x2) is the consumption of good 1 and 2 of agent i = 1,2. The total endowment of good 1 is w1 +21= 1 and the total endowment of good 2 is w21 +22= 1, where we is the endowment of good of consumer i. (a) Find the contract curve for this economy-in other words, find the points x12 that are Pareto optimal as a function of x11, conditional that x2 and X1 are both feasible. (b) Can the allocation f = (1/4, 1/3) be implemented by a social planner as an equilib- rium? Explain.