Can someone explain on how to do this/start?

1. A no production economy has 2 consumers (A and B) who each consume two different goods (x and y). Person A is endowed with (120,270) and has a utility 2 1 function U A (x A, y A) = xjyf; . Person B is endowed with (480,180) and has a utility 1 2 function U3 (353,3'3) = 3533';- a) Calculate the MRS for each person at the initial endowment. Use this to explain why you know the intial endowment is not Pareto Efficient. (1 point) b) Find the Pareto Efficient allocation for each consumer when person A ends up with 100 units of good y. (1 point) c) Show that the Pareto Efficient point in (b) is not the competitive equilibrium from the initial allocation. (1 point) d) Show that A = (350, %) , B : (250, %) , is the competitive equilibrium from the initial allocation. (2 points) e) Draw an edgeworth box showing the following: The initial endowment, the IC that go through the initial endowment for each consumer, the CE point from (d), the IC's through that point for each consumer, and the budget constraint from the competitve equilibrium price. (3 points) f) Use the information in (b) and (d) to explain why you know the contract curve is not linear. (1 point) 9) Assume we want to make the PE point from (b) the Competitive equilibrium. Find a transfer of only good yfrom the initial endowment that will result in the answer to (b) being the competitive equilibrium from the new starting point. Be sure to describe the transfer as which agent sends how much of the good to which agent. Find the price at the new comp. equ. and check whether or not it is the same as the comp. equ. price in (d) (2 points)