ayue Is The company is evaluating three different expansion plans: Minor, moderate, or major. They can, of course, also do nothing. Long-term profitability will be a function of future demand growth for the chemical compound. The following payoff table gives the present worth future profitability (in $1,000's) estimated by Unidyde management: Demand Growth for Chemical Compound High Medium Low Do Nothing Minor 140 120 120 Expansion Moderate Major 150 220 -260 250 100 -450 1. What is Unidyde's optimal decision if it wishes to minimize its maximum regret? 2. What is Unidyde's optimal decision if it uses the equal likely criteria? 3. Suppose Unidyde estimates the following probabilities hold for demand growth of the chemical compound: P(High Growth) =.20 P(Medium Growth) = .40 P(Low Growth) =.40 4. What is the most that Unidyde should pay for sample information regarding the compound's future growth? (Hint: calculate the EVPI )

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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Unidyde is considering expansion of its Fort Myers plant to produce a new chemical compound.
The company is evaluating three different expansion plans: Minor, moderate, or major. They can,
of course, also do nothing. Long-term profitability will be a function of future demand growth for
the chemical compound. The following payoff table gives the present worth future profitability
(in $1,000's) estimated by Unidyde management:
Demand Growth for Chemical Compound
High
Medium
Low
Do Nothing
Minor
140
120
120
Expansion Moderate
Major
150
220
-260
250
100
-450
1. What is Unidyde's optimal decision if it wishes to minimize its maximum regret?
2. What is Unidyde's optimal decision if it uses the equal likely criteria?
3. Suppose Unidyde estimates the following probabilities hold for demand growth of the
chemical compound:
P(High Growth) =.20
P(Medium Growth) = .40
P(Low Growth)
What is the most that Unidyde should pay for sample information regarding the compound's
future growth? (Hint: calculate the EVPI.)
5. Construct a decision tree and make the decision by folding back the decision tree.
=.40
4.
Transcribed Image Text:Unidyde is considering expansion of its Fort Myers plant to produce a new chemical compound. The company is evaluating three different expansion plans: Minor, moderate, or major. They can, of course, also do nothing. Long-term profitability will be a function of future demand growth for the chemical compound. The following payoff table gives the present worth future profitability (in $1,000's) estimated by Unidyde management: Demand Growth for Chemical Compound High Medium Low Do Nothing Minor 140 120 120 Expansion Moderate Major 150 220 -260 250 100 -450 1. What is Unidyde's optimal decision if it wishes to minimize its maximum regret? 2. What is Unidyde's optimal decision if it uses the equal likely criteria? 3. Suppose Unidyde estimates the following probabilities hold for demand growth of the chemical compound: P(High Growth) =.20 P(Medium Growth) = .40 P(Low Growth) What is the most that Unidyde should pay for sample information regarding the compound's future growth? (Hint: calculate the EVPI.) 5. Construct a decision tree and make the decision by folding back the decision tree. =.40 4.
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