3. Draw indifference curve maps for the following descriptions of preferences and indicate the direction in which utility is increasing. In every question, plot the good labeled X, on the horizontal axis and the good labeled X, on the vertical axis. a) Ima Dancer hates housecleaning (x) and loves to dance (X2). She has strictly convex preferences (i.e. she prefers averages to extremes.) She does nothing else other than dance and houseclean. She always is happier the more she dances. The more time she spends cleaning house, the less happy she is. Page 2 of 4 b) Yogi always eats each hot dog (X.) with exactly 2 oz. of mustard (X2). Additional hotdogs without mustard or mustard without hotdogs provides no extra happiness (or harm) to Yogi. c) Given a choice between two bundles containing books (X.) and cassettes (X2). Felicity prefers the bundle with the larger quantity of books. If the quantity of books is the same in the two bundles, Felicity is indifferent between them. d) Jake is a chain smoker; the more cigarettes (X) he smokes, the more money (X2) he is willing to give up to obtain even more cigarettes. e) Jason is always willing to give up 5 units of X, for each unit of X, no matter how many units of each good he consumes. 4. For parts b) and e) of Q3 above, write down a utility function that accurately represents the preferences