2. Seng Kang has a utility function of the form U(c) = vc. He is currently a manager at Sheng Siong and earns $50,000 a year. His favorite pastime is playing football and the Tampines Rovers have just made him an offer to play for them professionally. They will pay him $100,000 a year but there is a 20% probability that he will be injured badly enough to render him unable to do any kind of work. a. What is Seng Kang's expected utility if he chooses to play for the Rovers? b. Will Seng Kang leave his job at Sheng Siong to play for the Rovers? c. If Seng Kang pays $p for an insurance policy that would give him $100,000 if he suffers a career ending injury, then he would be sure to have an income of $100,000 p no matter what happened to him. Write an equation, as a function of p, that leaves him indifferent between buying and not buying the policy. Then, solve for the highest price Seng Kang will be willing to pay for such an insurance policy