3. Consider an economy described by the following preferences and endow- ments: 21 (11, 221) = 4 In(2 11) + 4 In (@21) 12 (3 12 , 2022 = 2 In(2 12) + -In(322) W1 = (10, 5) W2 = (5, 10) a) What is the Walrasian equilibrium in this economy (normalizing the price of the first good to one)? b) Suppose a benevolent dictator wishes to implement an allocation that maximizes uj + u2. Calculate this allocation. Is it Pareto optimal? c) Specify all the possible transfers such that the dictator's optimal allocation is sustained as a Walrasian equilibrium with such transfers. What are the equilibrium prices