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) Examination, 2016
Paper XVI OPERATIONS MANAGEMENT
Day and Date Wednesday, 7-12-2016 Total Marks 70
Time 2.30 p.m. to 5.30 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 Assignment Problem. 14
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
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.
P.T.O.
Seat
No.
Location
Plant
SLR-T 24
2. Solve any two of the following 14
A company is making a large boiler installation. A certain automatic monitoring
unit is critical for the operation of the whole system. At the time of original
order, the spares for this unit can be purchased for Rs. 2,000 per unit. The
probability distribution for the failure of this unit during the life time of installation
is given as
Failure Probability
0 0.35
1 0.25
2 0.20
3 0.15
4 0.05
If a spare is needed and is not available, the total cost of idle time and
replacement cost will be Rs. 15,000. Unused spares have no salvage value.
Determine the optimal number of spares to be ordered.
Write short note on scope of Operations Research.
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
SLR-T 24
3. 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 1.2
Necklace 200 0.15 0.75
Earnings 100 0.05 0.5
Find Basic Solution using Least Cost Method and unutilized source or
unsatisfied demand.
Warehouse
Factory W1 W2 W3 W4 Capacity
F1 10 30 50 10 7
F2 70 30 40 60 10
F3 40 8 70 20 12
Requirement 5 8 7 15
Write short note on Marcove Chain Theory.
4. Solve any two of the following 14
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.
Write short note on simulation.
Two players A and B play a game of matching coins in which each has 3
coins 10 paise, 25 paise and 50 paise coin. Each player selects a coin without
knowledge of other player's choice. If the sum of the coins is even A wins
coin and if the sum of the coins is odd B wins coin. Prepare the payoff
matrix and find the value of the game.
5. Define operations research. Explain the limitations and Phases of Operations
Research. 14
6. A Confectioner sells two products A and B at Rs. 60 and Rs. 40 with increment
cost of Rs. 30 and Rs. 10 respectively. The products are produced in a common
production process with capacity of 30,000 man hours. A unit of A requires
3 hours and that of B requires 1 hour for production. A survey reveals that the
maximum number of units that can be sold is 8,000 of A and 12,000 of B. Formulate
and solve the equation graphically to maximize contribution. 14
7. A firm's transportation tableau is as under. Suggest allocation of units to minimize
cost 14
Plants
Warehouse-(Cost per Unit Capacity
W1 W2 W3
P1 40 70 90 300
P2 12 80 30 400
P3 60 90 45 200
Requirement 300 300 300 900
Paper XVI OPERATIONS MANAGEMENT
Day and Date Wednesday, 7-12-2016 Total Marks 70
Time 2.30 p.m. to 5.30 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 Assignment Problem. 14
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
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.
P.T.O.
Seat
No.
Location
Plant
SLR-T 24
2. Solve any two of the following 14
A company is making a large boiler installation. A certain automatic monitoring
unit is critical for the operation of the whole system. At the time of original
order, the spares for this unit can be purchased for Rs. 2,000 per unit. The
probability distribution for the failure of this unit during the life time of installation
is given as
Failure Probability
0 0.35
1 0.25
2 0.20
3 0.15
4 0.05
If a spare is needed and is not available, the total cost of idle time and
replacement cost will be Rs. 15,000. Unused spares have no salvage value.
Determine the optimal number of spares to be ordered.
Write short note on scope of Operations Research.
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
SLR-T 24
3. 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 1.2
Necklace 200 0.15 0.75
Earnings 100 0.05 0.5
Find Basic Solution using Least Cost Method and unutilized source or
unsatisfied demand.
Warehouse
Factory W1 W2 W3 W4 Capacity
F1 10 30 50 10 7
F2 70 30 40 60 10
F3 40 8 70 20 12
Requirement 5 8 7 15
Write short note on Marcove Chain Theory.
4. Solve any two of the following 14
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.
Write short note on simulation.
Two players A and B play a game of matching coins in which each has 3
coins 10 paise, 25 paise and 50 paise coin. Each player selects a coin without
knowledge of other player's choice. If the sum of the coins is even A wins
coin and if the sum of the coins is odd B wins coin. Prepare the payoff
matrix and find the value of the game.
5. Define operations research. Explain the limitations and Phases of Operations
Research. 14
6. A Confectioner sells two products A and B at Rs. 60 and Rs. 40 with increment
cost of Rs. 30 and Rs. 10 respectively. The products are produced in a common
production process with capacity of 30,000 man hours. A unit of A requires
3 hours and that of B requires 1 hour for production. A survey reveals that the
maximum number of units that can be sold is 8,000 of A and 12,000 of B. Formulate
and solve the equation graphically to maximize contribution. 14
7. A firm's transportation tableau is as under. Suggest allocation of units to minimize
cost 14
Plants
Warehouse-(Cost per Unit Capacity
W1 W2 W3
P1 40 70 90 300
P2 12 80 30 400
P3 60 90 45 200
Requirement 300 300 300 900
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