two goods food (J ) and water (w). Measure amount of food on the horizontal axis in your graphs for following. If w wo, Ann only cares about the amount of food that she consumes (more is better), she is indifferent to water, and these bundles are all preferred to those with w w. 1. Show some indifference curves (at least seven), all with plausible utility numbers, in a graph that accurately expresses Ann's preferences. Make sure that your graph shows very clearly what is happening with the indifference curves when w = w", and for bundles in the neighborhood of w = w 2. In two separate diagrams, show the "weakly preferred set" to the two following bundles: . f = 8, w = 3, and w > 3 . f = 4, w =9, and w and ~ ) to define Betty's weak preference set for bundle (2,3). 2. Betty's preferences are described by the utility function U = x y. Use Betty's specific utility function to define Betty's weak preference set of bundle (2, 3). 3. It turns out that U(c) = U(Xc, yc) = xay = 35. Use the number 35 to define Betty's weak preference set of bundle c. 4. Express (2, 3) ~ c using the weak preference relation () 5. Express b > c using Betty's weak preference sets