Consider an exchange economy with 2 consumers whose preferences and endowments are represented by: u' (21, 22) = [(21) + (x2)']1/8 and e' + (8 + a, 11 +b) u(x1,x2) = [(x1) + (x2)"]1/P and e? = (10 0,4 6) where a (-8, 10) and b (-11, 4). Consider the allocation i given by i = (12, 10), ? = (6,5) (a) Assume p = 1/3. Find the demand function/correspondence of consumer 1 as a function of a and b. (b) Assume still p = 1/3. Are there values of a and b such that I is a Walrasian equilibrium allocation? (c) Assume now p = 3. Find the demand function/correspondence of consumer 1. (d) Assume still p = 3. Are there values of a and b such that is a Walrasian equilibrium allocation? Are there values of a and b such that I is in the Core