1.Consider a simple economy where there are only two goods, apple (X) and banana (Y), and two consumers, A and B. The initial endowment for both is A has 50 apples and 120 bananas; B has 150 apples and 180 bananas. The both have preferences can be described the utility function U(X,Y)=XY.

a.Draw an Edgeworth box for this economy. Find the initial allocation. Is allocation F efficient, why?

b.Find all the Pareto superior allocations.

c.Draw the contract curve.

d.Prove the allocation where both equally share everything must be on the contract curve.