16. A project consist of 9 jobs. Find the probability of completing the project in 41.5 days? Job : , (1, 2) (1, 3) (1, 4) (2,5) (2,6) tor 5 18 26 tp 10 22 40 8203318 Job : (3, 6) ' (4,7) (5, 7) to 6773 tp 121295 tn 91084 16 15 20 25 Second Semester 20 (6, Ge ne r OPERATIONS MANAGEME NT/OPERATI ONS RESEARCH AND MANAGEMENT (20 12- Ig Batch onwards) A and B play a garne in which each has three 'Time : Three hours Answer any FIVE questions. All questions carry equal marks. 1. 2. PARTC-(1 x20=20marks) (Compulsory) is Game theory? Maximum : 100 rnarks PARTA-(5x6=30marks) game. What aly'Marketin g/Finance/IB/HRM/RM/Tourism .7) , coins. a 5p, a 10p and a 20p. Each selects a coin without the knowledge of the other's choice. If the sum of the coins is an odd amount, A wins B's coin; If the sum is even B wins A's coin. Find the best strategy for each player and the value of the t1, 2OO4 M.B.A. DEGREE EXAMINATION, DECEMBER 20 I4/JANUARY 20 1 5. bm l(i. MBAC Explain the process of planning. What are the factors to be considered in plant Iocation? Mention t]re areas of business and management where game theory can be used. MBAC d 2OO4 3. What are the essentials for the plant lay-out? 4. What are the uses of Linear Programming? 5. Write about'duaiity'. What is a TransPortation Model? 7. Write the differences between PERTiCPM' 8. Explain the assumptions of Queuing Model' approximation method' iln*,Jl;"":'i;ffi.* Dr Dz Da Da o D s'le6 I Il leI l3l70 r I 2z | 88 155 5 11 szl1ll :lmt PARTB-(5x 10=50marks) 10 L2 srlloltzl+ A z+ Answer anY FIVE questions. Explain the characteristics of OR. 10. Solve graphically 13. 3. slz 3 7 6 cl+ 1 5 2 to -2r\ + x, <l xt<2 rr+xr<3 It^',,'l,i :u Solve the L.P.P. bY Big M'method. Maximise Z=\xr-:rz Subject to ' I I 5 4 I I 14. For the project given below' Find the flout' fo'l each activities, Hence find the Critical path' 2x, + xr 22 rq I""1 followi"-;'.;i;t problem' Solve the following assignment problem' I d.(s 3 4 7 t X1, X2 >-0' 11. t IIIIIIIVV Maximize Z =Sxt*2xz Subject I n7 leo 45 85355045 All questions carry equal marks. 9. rP Vogel's z' Solve the following T'P' using vos"r'*l 12. b. Activities: l'2 l'4 L-7 2'3 3-6 4-5 4'8 5-6 6-9 7-8 8-9 5 ActivityTime: 2 2 t 4 I 5 8 4 3 3 +lxz <3 xz<4 Xr,xz > 0' MBAC 2OO4 3 MBAC 2004 i
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