please answer this with explanation, thank you!

5. (20 points) Consider the following exchange economy. There are two agents A and B. There are two commodities 1 and 2. The initial endowment of the two commodities for A and B are 111,; = (2, 3) and 103 = (5, 4) respectively. Suppose that the preferences of the two agents A and B, 15,4001\" 5023) and uB(m}3,w2B) are as follows: mbinvzg) = (37,14) - ($31) \"3('731133'rg = (wig)2 - (5623) where c - d means c x d. (a) (8 points) Characterize the set of Pareto eicient allocation in this economy (i.e., nd a equation for the Contract curve of this economy. (b) (12 points) Take 102 = 1. Find a competitive equilibrium for the economy