There are two shows on Netflix that Jeff can watch, Show 'I and Show 2. x1 measures the number of episodes watched of Show 'I and x2 measures the number of episodes watched of Show 2. Jeff's preferences can be represented by u(x1, x2) = x12 + ax; Jeff has 12 hours available for watching Netix today. Each episode of Show 'I lasts 30 minutes, while each episode of Show 2 lasts one hour. For all question parts, round to three decimal places if necessary. For parts (a) - (f), let a = 1. Draw Jeff's indifference curves for the utility levels u = 4, 9,16. Draw a straight line between the bundles (x1, x2) = (4, 0) and (x1, x2) = (O, 4). Now. use your picture to determine whether the following two statements are true or false. Answer "1 " for true. Answer "0" for false. a) Statement 1: Jeff's preferences are strongly monotone. Cl b) Statement 2: Jeff's preferences are strictly convex. Cl c) Find the bundle at which one of Jeff's indifference curves is tangent to the budget line. (991, 392) =( , ) d) Evaluate Jeff's utility at the aforementioned tangent bundle. MiG e) Evaluate Jeff's utility at the bundle where he consumes only Show 1. u(24, 0) =E f) Evaluate Jeff's utility at the bundle where he consumes only Show 2. am, 12) =E For parts (gh), suppose that a = 2. Q) What is the optimal number of episodes of show 1 for Jeff to watch? U h) What is the optimal number of episodes of show 2 for Jeff to watch? H For parts (i-j), suppose that a = 6. i) What is the optimal number of episodes of show 1 for Jeff to watch? U j) What is the optimal number of episodes of show 2 for Jeff to watch? U