Scenario 5.1: Upon graduation, you are offered three jobs. S…

Scenario 5.1: Upon graduation, you are offered three jobs. Some job only offers a fixed salary, some job also offers a potential bonus.           Company Income without Bonus Income with Bonus Probability of Receiving Bonus Samsa Exterminators 100,000 200,000 .10 Gradgrind Tech 100,000 190,000 .90 Goblin Fruits 115,000 115,000 .50   Assuming that your utility for income is U=I0.5, your utility of expected income from working at Gradgrind Tech is 

George Steinbrenner, the owner of the New York Yankees, has…

George Steinbrenner, the owner of the New York Yankees, has a utility function of wins, w, in a season given by U(w) = (1/3)w2.  Mr. Steinbrenner has been offered a trade.  He believes if he completes the trade, his probability of winning 125 games is 20%.  There is also an 80% chance the team won’t gel and the Yankees will win only 91 games.  1. What will be Mr. Steinbrenner’s expected utility if his belief is correct and he takes the offer? (please just input the number without the comma, please round to integer)  2. As the head coach, you dislike the trade. You are going to promise Mr. Steinbrenner that the Yankees will win at least X games. What is the smallest number of X that can stop the trade? X= (Please input an integer)