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Consider an endowment economy with two goods and two individuals. The two individuals A and B have the following endowments {wmgxorwgn = {(1,2),(3,4)} The utility functions for A and B are: UA(x'14, x?) = 0.510g(xf) + log(x124) UB(xf, x3) = logos?) + 0.5 log(xf) ** Part a (5 marks) Find the contract curve in terms of (xf, x34). 124 in terms of x114, just leave it as some implicit function] [Note: There is no need to solve x ** Part b (5 marks) Find the competitive equilibrium relative price p > 0 using the market clearing condition of Good 1. ** Part c (5 marks) Repeat Part b using the market clearing condition of Good 2. ** Part d (5 marks) Find the allocation in the perfect competition equilibrium