Consider my wifes tastes for grits and cereal. A: Unlike me, my wife likes both grits and

Question:

Consider my wife€™s tastes for grits and cereal.
A: Unlike me, my wife likes both grits and cereal, but for her, averages (between equally preferred bundles) are worse than extremes.
(a) On a graph with boxes of grits on the horizontal and boxes of cereal on the vertical, illustrate three indifference curves that would be consistent with my description of my wife€™s tastes.
(b) Suppose we ignored labels on indifference curves and simply looked at shapes of the curves that make up our indifference map. Could my indifference map look the same as my wife€™s if I hate both cereal and grits? If so, would my tastes be convex?
B: Consider the utility function u(x1,x2)

(a) Could this utility function represent the tastes you graphed in part A(a) above?
(b) How could you transform this utility function to be consistent with my tastes as described in A(b)?