After her final this semester, Stella must drive from her school in Philadelphia to her home in upstate New York. She has two possible routes for her trip, through Pennsylvania or through New Jersey. The two routes are equally long, and Stella has no preference for driving along one route or the other. However, Stella always drives over the speed limit. If she drives through Pennsylvania, there is a 50% chance she will receive a $300 speeding ticket. Though, if she drives through New Jersey there is a 25% chance that she will receive a $400 speeding ticket. Stella current monetary endowment is M = $400 and her utility from money is U(M) = M0.5. A. Given her utility from money, is Stella risk averse? If so, what is her measure of absolute risk aversion?

B. In a utility for money diagram, draw Stellas utility function and clearly indicate her possible monetary outcomes and her expected value if she drives through New Jersey. In the same diagram, clearly indicate her expected utility if she drives through New Jersey.

C. In a separate utility for money diagram, draw Stellas utility function and clearly indicate her possible monetary outcomes and expected value if she drives through Pennsylvania. In the same diagram, indicate Stellas expected utility if she drives through Pennsylvania.

D. Is he expected utility higher if she drives through New Jersey or if she drives through Pennsylvania? Which route does she choose?

E. Would Stella choose the same route if her utility from money was U(M) = M1/3?

*please answer all parts clearly and show all work so i can understand // learn :D**