market research report will be favorable

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section: Chapter Questions
Problem 46P
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a. Use a decision tree to recommend a decision.

b. Use EVPI to determine whether Gorman should attempt to obtain a better estimate of demand.

c. A test market study of the potential demand for the product is expected to report either a favorable (F) or unfavorable (U) condition. The relevant conditional probabilities are as follows:

P(F | s1) = 0.10        P(U | s1) = 0.90

P(F | s2) = 0.40      P(U | s2) = 0.60

P(F | s3) = 0.60      P(U | s3) = 0.40

What is the probability that the market research report will be favorable?

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
S2
S3
S1
-20
40
100
Manufacture, dı
10
45
70
Purchase, d2
The state-of-nature probabilities are P(s1) = 0.35 , P(82) = 0.35 , and P(s3) = 0.30 .
Transcribed Image Text: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 S2 S3 S1 -20 40 100 Manufacture, dı 10 45 70 Purchase, d2 The state-of-nature probabilities are P(s1) = 0.35 , P(82) = 0.35 , and P(s3) = 0.30 .
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