A new minor league baseball team is coming to town and the owners have decided to build a new stadium, either small or large. The success of the team with regard to ticket sales will be either high or low with probabilities of 0.75 and 0.25, respectively. If demand for tickets is high, the large stadium would provide a payoff of approximately $20 million. If ticket sales are low, the loss on the large stadium would be $5 million. If a small stadium is constructed, and ticket sales are low, the payoff is $500,000 after deducting the cost of construction. If ticket sales are high, the team can choose to build an upper deck, or to maintain the existing facility. Expanding the stadium in this scenario has a payoff of $10 million, whereas maintaining the same number of seats has a payoff of only $3 million. a. Draw a decision tree for this problem. b. What should management do to achieve the highest expected payoff?
A new minor league baseball team is coming to town and the owners have decided to build a new stadium, either small or large. The success of the team with regard to ticket sales will be either high or low with probabilities of 0.75 and 0.25, respectively. If demand for tickets is high, the large stadium would provide a payoff of approximately $20 million. If ticket sales are low, the loss on the large stadium would be $5 million. If a small stadium is constructed, and ticket sales are low, the payoff is $500,000 after deducting the cost of construction. If ticket sales are high, the team can choose to build an upper deck, or to maintain the existing facility. Expanding the stadium in this scenario has a payoff of $10 million, whereas maintaining the same number of seats has a payoff of only $3 million.
a. Draw a decision tree for this problem.
b. What should management do to achieve the highest expected payoff?
Expected value is a proportion of what you ought to hope to get per game over the long haul. The payoff of a game is the expected value of the game short of the cost. the expected value is determined by duplicating every one of the potential results by the probability every result will happen and afterward adding those values. By ascertaining expected values, financial backers can pick the situation probably going to give the ideal result.
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