4. Consider a two-person, two-good exchange economy. Suppose that both individuals have lexicographic preferences. That is, in comparing two distinct allocations for individual one x 1 individual one has strict preference given by the following xl >ly whenever X 1 > VI OF (x = yl and x > >2 And individual two also has lexicographic preferences. That is, in comparing two distinct allocations for individual two x2 individual two has strict preference given by the following x2>2 y2 x7 > VI or whenever x, = y, and x2 > yz Suppose that their initial endowments are Derive the set of (Strong) Pareto Optimal allocations in the above exchange economy. Explain. (Comment: The definition of Pareto Optimality you want to use is Definition 5.1 on page 199 of your text.)