# Content

Topics: Polychlorinated biphenyl, Decision theory, Decision tree Pages: 10 (1461 words) Published: December 4, 2014
﻿Contents
1.0Mind Mapping2
2.0Case Study3
2.1Case 13
2.1.1Solution5
2.2Case 26
2.2.1Solution9
3.0Reference10

1.0 Mind Mapping

2.0 Case Study
2.1 Case 1

TRANSFORMER REPLACEMENT AT MOUNTAIN STATES ELECTRIC SERVICE
Mountain States Electric Service is an electrical utility company serving several states in the Rocky Mountains region. It is considering replacing some of its equipment at a generating substation and is attempting to decide whether it should replace an older, existing PCB transformer. (PCB is a toxic chemical known formally as polychlorinated biphenyl.) Even though the PCB generator meets all current regulations, if an incident occurred, such as a fire, and PCB contamination caused harm either to neighboring businesses or farms or to the environment, the company would be liable for damages. Recent court cases have shown that simply meeting utility regulations does not relieve a utility of liability if an incident causes harm to others. Also, courts have been awarding large damages to individuals and businesses harmed by hazardous incidents.

If the utility replaces the PCB transformer, no PCB incidents will occur, and the only cost will be the cost of the transformer, \$85,000. Alternatively, if the company decides to keep the existing PCB transformer, then management estimates that there is a 5050 chance of there being a high likelihood of an incident or a low likelihood of an incident. For the case in which there is a high likelihood that an incident will occur, there is a .004 probability that a fire will occur sometime during the remaining life of the transformer and a .996 probability that no fire will occur. If a fire occurs, there is a .20 probability that it will be bad and the utility will incur a very high cost of approximately \$90 million for the cleanup, whereas there is an .80 probability that the fire will be minor and cleanup can be accomplished at a low cost of approximately \$8 million. If no fire occurs, no cleanup costs will occur. For the case in which there is a low likelihood of an incident occurring, there is a .001 probability that a fire will occur during the life of the existing transformer and a .999 probability that a fire will not occur. If a fire does occur, the same probabilities exist for the incidence of high and low cleanup costs, as well as the same cleanup costs, as indicated for the previous case. Similarly, if no fire occurs, there is no cleanup cost.

Perform a decision tree analysis of this problem for Mountain States Electric Service and indicate the recommended solution. Is this the decision you believe the company should make? Explain your reasons.

2.1.1 Solution

Explaination
The decision should be to retain the existing transformer; the cost of replacement (\$85,000) is greater than the cost of retention (\$61 000).

2.2 Case 2
THE CAROLINA COUGARS

The Carolina Cougars is a major league baseball expansion team beginning its third year of operation. The team had losing records in each of its first 2 years and finished near the bottom of its division. However, the team was young and generally competitive. The team's general manager, Frank Lane, and manager, Biff Diamond, believe that with a few additional good players, the Cougars can become a contender for the division title and perhaps even for the pennant. They have prepared several proposals for free-agent acquisitions to present to the team's owner, Bruce Wayne. Under one proposal the team would sign several good available free agents , including two pitchers, a good fielding shortstop, and two power-hitting outfielders for \$52 million in bonuses and annual salary. The second proposal is less ambitious, costing \$20 million to sign a relief pitcher, a solid, good-hitting infielder, and one power- hitting outfielder. The final proposal would be to stand pat with the current team and continue to...