Question 2There are 3 consumers, A, B, and C, in an exchange economy. There are two goods, 1 and 2, in the economy.

a) Prove the Walras' law in this three-consumers, two-goods economy.

b) If the sum of the net demand for good 1 of consumer A and consumer B and the sum of the net demand for good 2 of consumer A and consumer B are both 0, does it imply that the net demand for good 1 and the net demand for good 2 are, respectively, 0 for consumer C? Briefly explain using the Walras' law.