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Solve the following game
written 7.3 years ago by | modified 2.2 years ago by |
Mumbai University > Mechanical Engineering > Sem 7 > Operations Research
Marks: 5 Marks
Year: May 2016
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written 7.3 years ago by | modified 2.2 years ago by |
Mumbai University > Mechanical Engineering > Sem 7 > Operations Research
Marks: 5 Marks
Year: May 2016
written 7.3 years ago by |
Min(Column Max)=24
Max(Row Min)=19
Min(Column Max)= Max(Row Min)
Hence, Saddle Point does not exist.
Using dominance theory,
Step1:Addition of 2nd row and 3rd row is greater than row 3.Hence eliminating row 3.
Step2:Addition of 1st column and 2nd column is greater than column 3.Hence eliminating column 1.
Step3:`
24x+20(1-x)=19x+22(1-x)
4x+20=-3x+22
x=2/7
Similarly,
24y+19(1-y)=20y+22(1-y)
5y+19=-2y+22
y=3/7
Value of the game:
=24x+20(1-x)
=24(2/7)+20(1-(2/7))
=21.14