2. Consider an economy with L=2 goods and M=2 consumers. Consumer i=1 and i=2 have utility functions u1(x11,x12)=21x112+x12u2(x21,x22)=x2121x222 where xi=(xi1,xi2) is the consumption of good1 and 2 of agent i=1,2. The total endowment of good 1 is 11+21=1 and the total endowment of good 2 is 21+22=1, where i 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 x12 and x11 are both feasible. (b) Can the allocation x^1=(1/4,1/3) be implemented by a social planner as an equilibrium? Explain..