1. (20 points) The utility function \"(351,.1'2) = x1\" xi\"! . where 0 S a S l , represents Cobbie Douglas" preferences for tickets to baseball games (good x1) and to football games (good 362 ). Suppose that lCobbie's income is m. and that the ticket prices are respectively p1 and p2. (a) (5 points) Write down Cobbie's budget constraint and MRS of his utility function. (h) (5 points) Derive the individual demand functions for baseball and football tickets using answers to (a). Say whether Cobbie treats goods as nonnal or inferior, ordinary or Giffen, and whether they are complements 01' substitutes of one another. (0) (5 points) How would you describe in words the preferences corresponding to a : 0 and a = l '2 Does your explanation agree with the demands that you found for these cases? Explain. (d) (5 points) Assume a = E and m=100 and p3 =10. Draw the demand curve for good x1. Next 1 let a = , m=100 and p1 =20 and draw the cross demand curve for good x1. What happens to 2 these two curves if m increases to 200