ternational Pictures is trying to decide how to distribute its new movie Claws.

ternational Pictures is trying to decide how to distribute its new movie Claws. Claws is the story of an animal husbandry experiment at the University of Southern Queensland that goes astray, with tragic results. An effort to breed meatier chickens somehow produces an intelligent, 200 kilogram chicken that escapes from the lab and terrorises the campus. In a surprise ending the chicken is befriended by coach Tim Galvano, who teaches it how to play Rugby and help his team win State, National and World Championships. Because of the movies controversial nature, it has the potential to be either a smash hit, a modest success, or a total bomb. International is trying to decide whether to release the picture for general distribution initially or to start out with a limited first-run release at a few selected theatres, followed by general distribution after 3 months. The company has estimated the following probabilities and conditional profits for Claws:PROFITS (Millions of $)Level of successProbabilityLimited releaseGeneral distributionProbabilitySmash.3Modest.4Bomb.3profitslimitied releasesmash 22mnModest 9mnBomb -10mngeneral distributionSmash 12 mnModest 8 mnBomb -2mnInternational can run sneak previews of Claws to get a better idea of the movies ultimate level of success. Preview audiences rate movies as either good or excellent. On the basis of past experiences, it was found that 90% of all smash successes were rated excellent (and 10% rated good), 75% of all modest successes were rated excellent (25% rated good) and 40% of all bombs were rated excellent (60% rated good). The cost of running sneak previews is not cheap. Currently, this stands at $1m.a)What is the opportunity loss for a Limited release for a Bomb level of success?b)What would the optimal action be for International before running the sneak preview?c)What is the maximum amount of money that International would be prepared to pay for an absolutely reliable forecast of the movies level of success?d)What would be the joint probability for a bomb success and excellent preview given that in the past, it was found that 40% of all bomb successes were rated good?e) What is the posterior probability of a smash success given the sneak preview indicates good? f)What is the maximum amount that should be paid for the sneal preview? EVSI