Question 1. (20 Marks) ab Pam Shea has preferences represented by the utility function u(a, b) = 0, where a is the number of ounces of animal crackers that she consumes, and b is the number of ounces of beans that she consumes. (a) On a graph, sketch the locus of points that Pam finds indifferent to having 8 ounces of animal crackers and 2 ounces of beans. Also sketch the locus of points that she finds indifferent to having 6 ounces of animal crackers and 4 ounces of beans. (4 Marks) (b) Jessica Christian has preferences represented by the utility function (a, b) = 1000a262, where a is the number of ounces of animal crackers that she consumes, and b is the number of ounces of beans that she consumes. On another graph, sketch the locus of points that Jessica finds indifferent to having 8 ounces of animal crackers and 2 ounces of beans. Also sketch the locus of points that she finds indifferent to having 6 ounces of animal crackers and 4 ounces of beans. (4 Marks) (c) Are Pam's preferences convex? Are Jessica's preferences convex? Explain. (4 Marks) (d) What can you say about the difference between the difference curves you drew for Jessica and those you drew for Pam? (4 Marks) (e) How could you tell this was going to happen without having to draw the curves? (4 Marks)