Given the following payoff table with the profits (Sm), a firm might expect in a foreign country for alternative factory investments (x,y and z) under different levels of inflation. States of nature- Amount of inflation payoffs as profits decision alternatives Build Factory X Build factory Y Lease Plant Z 10 40 10 A= 2% 30 50 40 B=5% 50 60 80 C=10% Assume now that the pay offs are COSTS answer the following: 120 70 10 D=15% Using a minimax regret approach, which option would you choose? Using the same probabilities of of 0.2,0.3,0.40 and 0.10 for possible inflation levels A, B, C and D respectively, which decision alternative will minimise the expected cost? What is the expected annual cost associated with that recommendation? What is the most the firm should be willing to pay to obtain further (perfect) information (EVPI)?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section9.3: Single-stage Decision Problems
Problem 6P
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Given the following payoff table with the profits ($m), a firm might expect in a foreign country
for alternative factory investments (x,y and z) under different levels of inflation.
States of nature- Amount of inflation
payoffs as profits
decision
alternatives
Build Factory X
Build factory Y
Lease Plant Z
10
40
10
A= 2%
30
50
40
B=5%
50
60
80
C=10%
Assume now that the pay offs are COSTS answer the following:
120
70
10
D=15%
Using a minimax regret approach, which option would you choose?
Using the same probabilities of of 0.2,0.3,0.40 and 0.10 for possible inflation levels A,
B, C and D respectively, which decision alternative will minimise the expected cost?
What is the expected annual cost associated with that recommendation?
What is the most the firm should be willing to pay to obtain further (perfect)
information (EVPI)?
Transcribed Image Text:Given the following payoff table with the profits ($m), a firm might expect in a foreign country for alternative factory investments (x,y and z) under different levels of inflation. States of nature- Amount of inflation payoffs as profits decision alternatives Build Factory X Build factory Y Lease Plant Z 10 40 10 A= 2% 30 50 40 B=5% 50 60 80 C=10% Assume now that the pay offs are COSTS answer the following: 120 70 10 D=15% Using a minimax regret approach, which option would you choose? Using the same probabilities of of 0.2,0.3,0.40 and 0.10 for possible inflation levels A, B, C and D respectively, which decision alternative will minimise the expected cost? What is the expected annual cost associated with that recommendation? What is the most the firm should be willing to pay to obtain further (perfect) information (EVPI)?
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