Use the Cobb-Douglas utility function and budget constraint below to answer questions that follow. u(x1, x2) = xa 1 x (1-a) 2 m = p1x1 + p2x2 (a) Diagram the consumer's optimal choice. 1 (b) Suppose that the price of good 2 decreases, p 0 2 < p2, add the new optimal choice to the diagram in part 2a. Suppose that p2 decreases further, p 00 2 < p0 2. Add the new optimal choice to the same diagram. (c) Show how your answers to part 2b can be used to drive the price offer curve for good 2. (d) Based on your answers to the previous parts of this question, diagram the demand curve for good 2.