1. A Jeep manufacturer uses a special control device in each Jeep he produces. Four alternative methods A, B, C, D can be used to detect and avoid a faulty device. To detect the fault, the devices should go through four testing machines M1, M2, M3, and M4. The corresponding payoffs are shown in table below: M1 M2 M3 M4 A 20*a 100+b -150 50+2*a B 400 200 -50*b 200 100 300 + a + b 300 Calculate the loss table of the above payoff table. Suggest a decision for him as per the minimax regret criteria.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Note:  a=5 ,   b=9 

 

 
1.
A Jeep manufacturer uses a special control device in each Jeep he produces. Four alternative methods A, B, C, D can
be used to detect and avoid a faulty device. To detect the fault, the devices should go through four testing machines
M1, M2, M3, and M4. The corresponding payoffs are shown in table below:
M1
M2
M3
M4
A
20*a
100+b
-150
50+2*a
В
400
200
-50*b
200
100
300 + a + b
300
Calculate the loss table of the above payoff table. Suggest a decision for him as per the minimax regret criteria.
Transcribed Image Text:1. A Jeep manufacturer uses a special control device in each Jeep he produces. Four alternative methods A, B, C, D can be used to detect and avoid a faulty device. To detect the fault, the devices should go through four testing machines M1, M2, M3, and M4. The corresponding payoffs are shown in table below: M1 M2 M3 M4 A 20*a 100+b -150 50+2*a В 400 200 -50*b 200 100 300 + a + b 300 Calculate the loss table of the above payoff table. Suggest a decision for him as per the minimax regret criteria.
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