Intermediate Microeconomics question

6. (10 marks) After graduating, Sallie Handshake's best job offer will either be with a Big-8 accounting rm for $160,000 a year or as a State Farm agent in Grand Rapids for $40,000 a year. She can increase the probability of the former outcome by studying more, but such studying has its costs. If S represents her amount of studying (where S = 0 is no study and S = 1 is allout effort), her probability of getting the job with a Big-8 rm just equals S. Her utility depends on how hard she studies and her subsequent annual income Y. She tries to maximize the expected value of the van Neumann-Morgenstem utility function U (S, Y) = @4008? If she chooses S to maximize her expected utility, how much will she study