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Decision Tree for Handling Increased Workload

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The director of social services of a county has learned that the state has mandated additional information requirements. This will place an additional burden on the agency. The director has identified three acceptable alternatives to handle the increased workload.

One alternative is to reassign present staff members, the second is to hire and train two new workers, and the third is to redesign current practice so that workers can readily collect the information with little additional effort. The director of the social services indicated that reasonable caseload probabilities are .20 for moderate, 0.30 for high, and 0.50 for very high. The estimated costs (in $ thousands) for various options and caseloads are shown in the following table.

Case Load
Moderate High Very High
Reassign Staff 45 60 80
New Staff 60 60 60
Redesign Collection 45 55 85

a) Draw a decision tree for this problem.
b) Which alternative will yield the minimum expected cost?

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Solution Summary

Solution draws the decision tree and describes the steps to find out the best alternative based upon expected cost criteria.

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Please refer attached file for decision tree.

a) Draw a decision tree for this problem.
Please refer attached file for ...

Solution provided by:
Lokesh Jain, MSc
Education
  • BEng (Hons) , Birla Institute of Technology and Science, India
  • MSc (Hons) , Birla Institute of Technology and Science, India
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