The Gorman Manufacturing Company must decide whether to manufacture a component part at its Milan, Michigan, plant or purchase the component part from a supplier. The resulting profit is dependent upon the demand for the product. The following payoff table shows the projected profit (in thousands of dollars): State of Nature Low Demand Medium Demand High Demand Decision Alternative s1 s2 s3 Manufacture, d1 -20 40 100 Purchase, d2 10 45 70 The state-of-nature probabilities are P(s1) = 0.35, P(s2) = 0.35, and P(s3) = 0.30. Use a decision tree to recommend a decision. Recommended decision: Use EVPI to determine whether Gorman should attempt to obtain a better estimate of demand.
The Gorman Manufacturing Company must decide whether to manufacture a component part at its Milan, Michigan, plant or purchase the component part from a supplier. The resulting profit is dependent upon the demand for the product. The following payoff table shows the projected profit (in thousands of dollars): State of Nature Low Demand Medium Demand High Demand Decision Alternative s1 s2 s3 Manufacture, d1 -20 40 100 Purchase, d2 10 45 70 The state-of-nature probabilities are P(s1) = 0.35, P(s2) = 0.35, and P(s3) = 0.30. Use a decision tree to recommend a decision. Recommended decision: Use EVPI to determine whether Gorman should attempt to obtain a better estimate of demand.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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The Gorman Manufacturing Company must decide whether to manufacture a component part at its Milan, Michigan, plant or purchase the component part from a supplier. The resulting profit is dependent upon the
State of Nature |
|||
Low Demand |
Medium Demand |
High Demand |
|
Decision Alternative |
s1 |
s2 |
s3 |
Manufacture, d1 |
-20 |
40 |
100 |
Purchase, d2 |
10 |
45 |
70 |
The state-of-nature probabilities are P(s1) = 0.35, P(s2) = 0.35, and P(s3) = 0.30.
- Use a decision tree to recommend a decision.
Recommended decision: - Use EVPI to determine whether Gorman should attempt to obtain a better estimate of demand.
EVPI: $
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