Exam Details
| Subject | operations management | |
| Paper | ||
| Exam / Course | mba | |
| Department | ||
| Organization | solapur university | |
| Position | ||
| Exam Date | November, 2016 | |
| City, State | maharashtra, solapur |
Question Paper
M.B.A. I (Semester II) (New CBCS) Examination, 2016
OPERATIONS MANAGEMENT (Paper XVI)
Day and Date Wednesday, 7-12-2016 Total Marks 70
Time 2.30 p.m. to 5.00 p.m.
Instructions Question No. 1 is compulsory.
Solve any two questions from 4 and any two from
6 and 7.
All questions carry equal marks (14 marks).
Use of ordinary (Non-scientific/Non-Memory) calculator is
allowed.
Use graph paper (will be provided) wherever required.
1. Solve the following LPP. 14
A manufacturer of a line of patent medicines is preparing a production plan on
medicines A and B. There are sufficient ingredients available to make 20000 bottles
of A and 40000 bottles of B but there are only 45000 bottles into which either of the
medicines can be put. Furthermore, it takes 3 hrs. to prepare enough material to fill
1000 bottles of A whereas it takes only 1 hour to prepare equivalent quantity of B.
There are 66 hours available for this operation. The profit for A is Rs. per bottle
and for B is Rs. per bottle.
Formulate this problem as a Linear Programming Problem.
How should the manufacturer schedule the production in order to maximize
his profit
P.T.O.
Seat
No.
SLR-T 16
2. Solve any two of the following 14
A company wants to produce and introduce new product in the market.
Following data is obtained by market research.
Production
Strategy
Demand
D1 D2 D3
Probabilities of Demand
S1 84 63 65
S2 78 58 75
S3 90 92 55
Suggest best strategy using EMV method. Also calculate EVPI.
Three jobs C are to be assigned to three machines Z. The processing
costs are as given in the matrix shown below. Find the allocation which
will minimize the overall processing cost.
X Y Z
A 19 28 31
B 11 17 16
C 12 15 13
Write short note on concept of Operations Research.
3. Solve any two of the following 14
Dema Engineering Works is contemplating an investment of Rs. 100 Lac in
additional machinery to increase the capacity of its gear shops. The
management decision is to divide the expenditure among gear shaping, gear
hobbing and gear shaving machines in a way that maximizes to ROI and limit
the expenditure on each to Rs. 40 Lac, 60 Lac, and 30 Lac respectively.
Landed cost of each machine is Rs. 4 Lac, 8 Lac and 6 Lac respectively.
Expected ROI is 15% and 20% respectively.
Formulate the investment decision as LPP to maximize Return on Investment.
A company has three plants B and C with capacity of 30, 40 and 30 units of
a single product per month. It markets its product through three warehouses
Q and R. with requirements 45, 35 and 20 units per month respectively.
The cost of transporting one unit of the product from any plant B and C to
any warehouse Q and R is given in the following table
Plants
Warehouses
A B C
Requirements
P 13 14 12 45
Q 11 16 10 35
R 8 13 12 20
Capacity 30 40 30
Transported the units from plants to warehouses to minimize cost using
North West Corner Method and
Least Cost Method.
Write short note on characteristics of Marcov chain.
4. Solve any two of the following 14
Solve the following game and find the value of the game.
Player B
Strategies B1 B2
Player A
A1 6 3
A2 4 5
SLR-T 16
A departmental store has a single cashier processing customers at the rate
of 2.5 minutes per customer. Customers arrive at rate of 5 minutes each.
Compute
Probability that No customer exists in the store
ii) Probability that the cashier is Busy with a customer
iii) Probability that there are 3 customers in the store
Write short note on phases of Operations Research.
5. What is operations research Explain in detail the scope, limitations and
business application. 14
6. An organization has a plant at each of the cities B and C from where it feeds
distribution centres located at the cities F and G. Unit transportation costs
from plant A to distribution centres F and G are Rs. 10, Rs.15, Rs. 17 and
Rs. 15 resp. The same from plant B are 25, 35, 30 and 25 and from plant C are
15, 25, 35 and 25. Weekly capacities of plants B and C are 1000, 1050 and
1000 units resp. Whereas the requirements at F and G are 800, 1200, 900,
and 300 units resp. Workout the optimum distribution plan. 14
7. Check the following game for saddle point and solve by using dominance property. 14
B1 B2 B3 B4 B5
A1 1 3 2 4 7
A2 3 4 1 5 6
A3 6 5 7 6 5
A4 2 0 6 3 1
OPERATIONS MANAGEMENT (Paper XVI)
Day and Date Wednesday, 7-12-2016 Total Marks 70
Time 2.30 p.m. to 5.00 p.m.
Instructions Question No. 1 is compulsory.
Solve any two questions from 4 and any two from
6 and 7.
All questions carry equal marks (14 marks).
Use of ordinary (Non-scientific/Non-Memory) calculator is
allowed.
Use graph paper (will be provided) wherever required.
1. Solve the following LPP. 14
A manufacturer of a line of patent medicines is preparing a production plan on
medicines A and B. There are sufficient ingredients available to make 20000 bottles
of A and 40000 bottles of B but there are only 45000 bottles into which either of the
medicines can be put. Furthermore, it takes 3 hrs. to prepare enough material to fill
1000 bottles of A whereas it takes only 1 hour to prepare equivalent quantity of B.
There are 66 hours available for this operation. The profit for A is Rs. per bottle
and for B is Rs. per bottle.
Formulate this problem as a Linear Programming Problem.
How should the manufacturer schedule the production in order to maximize
his profit
P.T.O.
Seat
No.
SLR-T 16
2. Solve any two of the following 14
A company wants to produce and introduce new product in the market.
Following data is obtained by market research.
Production
Strategy
Demand
D1 D2 D3
Probabilities of Demand
S1 84 63 65
S2 78 58 75
S3 90 92 55
Suggest best strategy using EMV method. Also calculate EVPI.
Three jobs C are to be assigned to three machines Z. The processing
costs are as given in the matrix shown below. Find the allocation which
will minimize the overall processing cost.
X Y Z
A 19 28 31
B 11 17 16
C 12 15 13
Write short note on concept of Operations Research.
3. Solve any two of the following 14
Dema Engineering Works is contemplating an investment of Rs. 100 Lac in
additional machinery to increase the capacity of its gear shops. The
management decision is to divide the expenditure among gear shaping, gear
hobbing and gear shaving machines in a way that maximizes to ROI and limit
the expenditure on each to Rs. 40 Lac, 60 Lac, and 30 Lac respectively.
Landed cost of each machine is Rs. 4 Lac, 8 Lac and 6 Lac respectively.
Expected ROI is 15% and 20% respectively.
Formulate the investment decision as LPP to maximize Return on Investment.
A company has three plants B and C with capacity of 30, 40 and 30 units of
a single product per month. It markets its product through three warehouses
Q and R. with requirements 45, 35 and 20 units per month respectively.
The cost of transporting one unit of the product from any plant B and C to
any warehouse Q and R is given in the following table
Plants
Warehouses
A B C
Requirements
P 13 14 12 45
Q 11 16 10 35
R 8 13 12 20
Capacity 30 40 30
Transported the units from plants to warehouses to minimize cost using
North West Corner Method and
Least Cost Method.
Write short note on characteristics of Marcov chain.
4. Solve any two of the following 14
Solve the following game and find the value of the game.
Player B
Strategies B1 B2
Player A
A1 6 3
A2 4 5
SLR-T 16
A departmental store has a single cashier processing customers at the rate
of 2.5 minutes per customer. Customers arrive at rate of 5 minutes each.
Compute
Probability that No customer exists in the store
ii) Probability that the cashier is Busy with a customer
iii) Probability that there are 3 customers in the store
Write short note on phases of Operations Research.
5. What is operations research Explain in detail the scope, limitations and
business application. 14
6. An organization has a plant at each of the cities B and C from where it feeds
distribution centres located at the cities F and G. Unit transportation costs
from plant A to distribution centres F and G are Rs. 10, Rs.15, Rs. 17 and
Rs. 15 resp. The same from plant B are 25, 35, 30 and 25 and from plant C are
15, 25, 35 and 25. Weekly capacities of plants B and C are 1000, 1050 and
1000 units resp. Whereas the requirements at F and G are 800, 1200, 900,
and 300 units resp. Workout the optimum distribution plan. 14
7. Check the following game for saddle point and solve by using dominance property. 14
B1 B2 B3 B4 B5
A1 1 3 2 4 7
A2 3 4 1 5 6
A3 6 5 7 6 5
A4 2 0 6 3 1
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