Suppose that Betsy's utility function is given by the equation U=Y0.3 where Y is calculated in thousands of dollars. Betsy's present job pays her $20,000 (Y=20) per year and she can earn this amount next year with certainty. Betsy is offered a disimilar job but in this new job, Betsy has a 50% chance of earning $36,000 (Y=36) and a 50% chance of earning only $15,000 (Y=15).
a) Should Betsy take the latest job?
b) Does your answer change if Betsy's utility function is U=Y_{0.9}? Why?
c) Does your answer change if Betsy's utility function is U = Y_{1.25}? Why?