M.B.A. (Part (Semester II) (Old CBCS) Examination, 2018
Paper XVI OPERATIONS MANAGEMENT
Day and Date Tuesday, 4-12-2018 Total Marks 70
Time 2.30 p.m. to 5.00 p.m.
Instructions Q. 1 is compulsory.
Solve any two questions from Q. Q. 3 and Q. 4.
Solve any two questions from Q. Q. 6 and Q. 7.
1. Case study. 14
A manufacturer makes two types of lamps A and B requiring treatment by a cutter
and finisher. Lamp A requires 2 hours of cutter's time and 1 hour of finisher's
time. Lamp B requires 1 hour of cutter's time and two hours of finisher's time.
The cuter has 104 hours available and finisher has 76 hours available time each
month. Profit on lamp A is Rs. 6 and on lamp B is Rs. 11. How many of each
type of lamp should be manufactured to obtain the best return Also find out
best return. Solve graphically.
2. Solve any two 14
Solve the following assignment problem.
Men Jobs
1 2 3 4 5
1 5 11 10 12 4
2 2 4 6 3 5
3 3 12 5 14 6
4 6 14 4 11 7
5 7 9 8 12 5
P.T.O.
Set P
Solve graphically
Minimize Z 1000 X 800 Y
Subject to 6X Y ≥12
2X 2Y
4X 12Y 24
Y
Write a note on simulation and its applications.
3. Solve any two 14
At a post office window customers arrive at the rate of 12 per hour. The
service rate is 20 per hour. Find
Probability that newly arrived customer will get service immediately.
ii) Average number of customers in the queue.
iii) Average number of customers in the system.
Solve the following game and find the value of the game.
Player B
Strategies B1 B2
A1 6 3
A2 4 5
Write a note on Markov Chains.
4. Solve any two 14
Given the following payoff matrix, suggest which action is to be taken on the
basis of Hurwicz criterion. (coefficient of optimism 0.8).
Alternatives States of Nature (Product Demand)
High Moderate Low Nil
Expand 50,000 25,000 25,000 45,000
Construct 70,000 30,000 40,000 80,000
Subcontract 30,000 15,000 1,000 10,000
SLR-CL 26 *SLRCL26*
Player A
Set P
The dairy firm has dairy at 3 locations and distribution centers at 4 locations
cost of shipping is given in table in hundreds of Rs. Find initial feasible
solution for a transportation model by least cost method.
Dairy
Distribution Center
Supply 1 2 3 4
1 2 3 11 7 6
2 1 0 6 1 1
3 5 8 15 9 10
Demand 7 5 3 2
Write a note on queuing theory.
5. Explain concept of operations research, its advantages and disadvantages for
the various industries. 14
6. The owner of a small machine shop has four machinists available to assign jobs
for the day. Five jobs have been offered with the expected profit in Rs. for
each machinist-job combination as follows 14
Machinist Jobs
A B C D E
I 62 78 50 101 82
II 71 84 61 73 59
III 87 92 111 71 81
IV 48 64 87 77 80
Find the assignment of machines to jobs that will result in maximum profit.
Which job should be declined
7. Solve the following transportation problem for minimization. Use VAM and find
out optimal cost. 14
D1 D2 D3 Availability
S1 5 3 4 45
S2 8 7 2 37
S3 1 6 9 42
S4 7 4 8 27
Demand 50 40 47