Susan Solomon has been thinking about starting her own fuel station, but Susan's problem is to decide how large the station should be. The annual returns depend on both the size of the station and a number of market factors related to the oil industry and the demand for fuel. After careful analysis, Susan developed the following table: Fair Market (Rand) Poor Market (Rand) Size of the station Good Market (Rand) Small 50 000 20 000 -10 000 Medium 80 000 30 000 -20 000 Large 100 000 30 000 -40 000 Very Large 300 000 25 000 -160 000 For example, if Susan constructs a small station and the market is good, she will realise a profit of R50 000. Use the minimax regret and Hurwics (a=0.8) to assist Susan with her decision.

Practical Management Science
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Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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Use the minimax regret and Hurwics (α=0.8) to assist Susan with her decision
Susan Solomon has been thinking about starting her own fuel station,
but Susan's problem is to decide how large the station should be.
The annual returns depend on both the size of the station and a
number of market factors related to the oil industry and the demand
for fuel. After careful analysis, Susan developed the following table:
Fair Market (Rand) Poor Market (Rand)
Size of the station Good Market (Rand)
Small
50 000
20 000
-10 000
Medium
80 000
30 000
-20 000
Large
100 000
30 000
-40 000
Very Large
300 000
25 000
-160 000
For example, if Susan constructs a small station and the market is
good, she will realise a profit of R50 000.
Use the minimax regret and Hurwics (a=0.8) to assist Susan with her
decision.
Transcribed Image Text:Susan Solomon has been thinking about starting her own fuel station, but Susan's problem is to decide how large the station should be. The annual returns depend on both the size of the station and a number of market factors related to the oil industry and the demand for fuel. After careful analysis, Susan developed the following table: Fair Market (Rand) Poor Market (Rand) Size of the station Good Market (Rand) Small 50 000 20 000 -10 000 Medium 80 000 30 000 -20 000 Large 100 000 30 000 -40 000 Very Large 300 000 25 000 -160 000 For example, if Susan constructs a small station and the market is good, she will realise a profit of R50 000. Use the minimax regret and Hurwics (a=0.8) to assist Susan with her decision.
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