We have learned the First Welfare Theorem that says "the private market equilibrium is Pareto efficient" and the Second Welfare Theorem that says "Any Pareto Efficient allocation can be reached by redistribution followed by free market exchange" (a) Prove the first theorem using graphs. (b) Discuss the economic implications of the first theorem. (c) Prove the second theorem using graphs. (d) Discuss the political implications of the second theorem.