Exam Details
| Subject | production management and operations research (paper – xii) | |
| Paper | ||
| Exam / Course | mba | |
| Department | ||
| Organization | solapur university | |
| Position | ||
| Exam Date | 29, November, 2018 | |
| City, State | maharashtra, solapur |
Question Paper
M.B.A. I (Semester II) (New CBCS) Examination, 2018
Production Management and Operations Research (Paper XII)
Day and Date Thursday, 29-11-2018 Max. 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 indicated in the right side
of each question.
Use of ordinary (Non-scientific/Non-Memory) calculator is
allowed.
Use Graph paper (will be provided) wherever required.
1. Solve the following 14
A particular product is manufactured in plants P1, P2, P3 and P4 and is sold
at three markets M1, M2 and M3. The following is the profit matrix with respect
to plants and markets with the capacities and demands
Markets
Plants M1 M2 M3 Capacity
P1 30 20 40 1000
P2 0 10 10 200
P3 40 30 50 600
P4 20 10 30 800
Demands 1200 1400 600
Determine the Basic Feasible Solution using VAM and optimize the solution
using MODI.
Seat
No. Set P
Set P
SLR-CL 13 *SLRCL13*
2. Solve any two of the following 14
Formulate LPP with respect to the following working table of a Jeweler
having 160 Man hours and 800 ounces of Diamonds.
Product Profit Labour Reqd.
(Hrs.)
Diamonds
Reqd. (Ounces)
Bracelet 300 0.35 1.20
Necklace 200 0.15 0.75
Earrings 100 0.05 0.50
Write a short note on Quality certifications and standards.
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
3. Solve any two of the following 14
Write a short on Game Theory.
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, Probability
that the cashier is Busy with a customer and Probability that there are
3 customers in the store.
Discuss in brief Network analysis with PERT/CPM.
4. 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.
Set P
*SLRCL13* SLR-CL 13
Write a short note on Supply Chain Management.
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
Transport the units from plants to warehouses using
North West Corner Method and
Least Cost Method.
5. Four new plants P1, P2, P3 and P4 are to be located at 5 potential locations L1,
L2, L3, L4 and L5. Due to some constraints plant P2 and plant P3 cannot be located in
locations L3 and L1 respectively. The cost matrix for plant location relationship
is as under 14
Location
Plant
L1 L2 L3 L4 L5
P1 40 60 100 50 40
P2 70 40 50 40
P3 60 90 60 20
P4 90 30 70 20 30
Find the optimized assignment of plants to locations.
6. Discuss meaning and objectives of plant layout. Explain in detail with
diagram
Process layout and
Product layout. 14
Set P
SLR-CL 13 *SLRCL13*
7. 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. 14
Formulate this problem as a Linear Programming Problem.
How should the manufacturer schedule the production in order to maximize
his profit Compute using graphical method.
Production Management and Operations Research (Paper XII)
Day and Date Thursday, 29-11-2018 Max. 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 indicated in the right side
of each question.
Use of ordinary (Non-scientific/Non-Memory) calculator is
allowed.
Use Graph paper (will be provided) wherever required.
1. Solve the following 14
A particular product is manufactured in plants P1, P2, P3 and P4 and is sold
at three markets M1, M2 and M3. The following is the profit matrix with respect
to plants and markets with the capacities and demands
Markets
Plants M1 M2 M3 Capacity
P1 30 20 40 1000
P2 0 10 10 200
P3 40 30 50 600
P4 20 10 30 800
Demands 1200 1400 600
Determine the Basic Feasible Solution using VAM and optimize the solution
using MODI.
Seat
No. Set P
Set P
SLR-CL 13 *SLRCL13*
2. Solve any two of the following 14
Formulate LPP with respect to the following working table of a Jeweler
having 160 Man hours and 800 ounces of Diamonds.
Product Profit Labour Reqd.
(Hrs.)
Diamonds
Reqd. (Ounces)
Bracelet 300 0.35 1.20
Necklace 200 0.15 0.75
Earrings 100 0.05 0.50
Write a short note on Quality certifications and standards.
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
3. Solve any two of the following 14
Write a short on Game Theory.
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, Probability
that the cashier is Busy with a customer and Probability that there are
3 customers in the store.
Discuss in brief Network analysis with PERT/CPM.
4. 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.
Set P
*SLRCL13* SLR-CL 13
Write a short note on Supply Chain Management.
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
Transport the units from plants to warehouses using
North West Corner Method and
Least Cost Method.
5. Four new plants P1, P2, P3 and P4 are to be located at 5 potential locations L1,
L2, L3, L4 and L5. Due to some constraints plant P2 and plant P3 cannot be located in
locations L3 and L1 respectively. The cost matrix for plant location relationship
is as under 14
Location
Plant
L1 L2 L3 L4 L5
P1 40 60 100 50 40
P2 70 40 50 40
P3 60 90 60 20
P4 90 30 70 20 30
Find the optimized assignment of plants to locations.
6. Discuss meaning and objectives of plant layout. Explain in detail with
diagram
Process layout and
Product layout. 14
Set P
SLR-CL 13 *SLRCL13*
7. 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. 14
Formulate this problem as a Linear Programming Problem.
How should the manufacturer schedule the production in order to maximize
his profit Compute using graphical method.
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