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Here’s the answers to Operations Research TYBMS SEM 6 Paper 2016 that you appeared for today!

Answers, if any students want for verification.

Q. 1a X =6, Y =4, Max. Z = 380
Q. 1b X1 = 0, X2 = 6, Max. Z= 30

Q. 2a Optimal cost 199 Multiple optimal solution. Not Unique solution.
Q. 2b Optimal cost 527
Q. 2c Optimal profit 119

Q. 3a Project completion time 97 weeks A-B-D-F-H.
Q. 3b Project completion time 15 days
S. D. = 1.41
Time for 85% probability =16.47 days

Q. 4a
Maximin 30 for A4
Maximax 80 for A2
Laplace 51.66 for A2 & A4 (select any one)
Hurwicz alpha 60.5 for A2
Minimax regret 10 for A4

Q. 4b
Max. EMV 618 for A3
EPPI 676
Min. EOL 58 for A3

Q. 4c
Max. EMV 75 for A3

Q. 5
1. Solution is Optimal
2. X2= 18, X1= zero, Max. Z =108
3. Unique solution
4. Non degenerate solution
5. Shadow prices
R1=zero, R2=zero, R3= 1.5
6. R1 & R2 are abundant resources. R3 is scarce resource.
7. Percentage utilization
R1 36/40 = 90%
R2 18 /60 = 30%
R3 72/72= 100%

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