1. The utility function u(:r:,y) = magi'1, where 0 S a 5 1, represents Cobbie Douglas' preferences for tickets to baseball games (good :3) and to football games (good y). Suppose that Cobbie's income is M , and that the ticket prices are respectively pm and py. (a) Derive the individual demand functions for baseball and football tickets. Say whether Cobbie treats these goods as normal or inferior, ordinary or Giffen, and whether they are complements or substitutes of one another. (b) How would you describe in words the preferences corresponding to a = 0 and a = 1? Does your explanation agree with the demands that you found for these cases? Explain. (c) Assume a, = 1/2. Let M = 100, 19.9 = 10 and draw the demand curve for good 9:. Next let M = 100, px = 20, and draw the cross demand curve for good ac. What happens to these two curves if M increases to 200