Thelma is indifferent between $100 and a bet with a 0.6 chance of no return and a 0.4 chance of $200. If U(0) = 20 and U(200) = 220, then U(100) =

At a raffle, 100 tickets are sold for 1 prize of $100 and 3 consolation prizes of$20. If the ticket is worth $2, what would be the expected value?

St. John's Brewery (SJB) is getting ready for a busy tourist season. SJB wants to either increase production or produce the same amount as last year, depending on the demand level for the coming season. SJB estimates the probabilities for high, medium and low demands as 0.32, 0.31, and 0.37 respectively, on the basis of the number of tourists forecasted by the local recreational bureau. If SJB increases production, the expected profits corresponding to high, medium and low demands are $800,000, $400,000 and $100,000 respectively. If SJB does not increase production, the expected profits are $550,000, $325,000 and $200,000 respectively. (NOTE: Text answers are case sensitive and the value of different parts of this question is indicated in square brackets [*/*]) Construct a decision tree for SJB. On the basis of the EV, what should SJB do? What is the expected value of increasing production? What is the expected value of not increasing production? Should SJB increase production (enter…

A salesperson is trying to sell cars. The number of cars that she will sell depends on her effort "e" and her luck. Given her effort e, with probability 4e she is able to sell four cars, and with probability (1 - 4e) she is able to sell only one car. Her personal cost of effort is 100e². The dealership pays her a bonus b for each car sold. The salesperson is risk-neutral, and wants to maximize her expected utility, which is her expected income minus her effort cost. a) Given the bonus b, the salesperson's best response function is b) Suppose the dealership pays b = 2. Then the expected number of cars sold will be E(Q)=