Question 3 An economy has two agents,A and B, and two goods in and X2. The utility functions and endowments of the agents are given by: col- wln UA(a:'{',x2") = (x?) (w?) UB(wFsc-v) = (32'?)- (3'23) Qi= [EAz] = [1: 2] 5= [31 M MI- 332) = [2. 1) Suppose A and B trade on a W market as perfect competitors. Let the price of good 2 be xed at 1, and the price of good 1 be p. A. Find A's demand for good 1 as a function ofp. B. Find B's demand for good 1 as a function ofp. C Find the equilibrium price of good 1. Call this p". D. What are the net trades that occur between the two agents at these prices? E We know that if the price of good 1 is p' and that ofgood 2 is 1, then the market for good 2 will clear as well. Explain why, in an n-good economy, if the markets for goods 1 through I: - 1 clear at some prices [pin 29;: "-1193], then the market for good n must clear at these prices as well