3. Consider the same exchange economy as specied in Question 2 above, but this time do not impose the individual rationality constraints. (a) Describe the set of feasible allocations for this economy. How does it differ from the set described in 2b? (b) Why can this be interpreted as giving the social planner the ability to conscate all resources from every individual, and then redistributing those resources across the popu- lation in an arbitrary way. Be very Specic, a vague answer does not satisfy. (c) Describe the set of Pareto optimal feasible allocations for this economy. How does it differ from the set of Pareto Optimal allocations for the economy Where individually rationality must be respected? Be specic and complete in your answer. (d) Prove that the set described of allocations described in Part (c) are Pareto Optimal. (e) Prove that all other allocations are not Pareto Optimal