Pondicherry University 2007 M.B.A Quantitative Techniques for Managers - Question Paper
M.B.A. DEGREE EXAMINATION, JUNE 2007
SECOND SEMESTER
PAPER 9-Quantitative Techniques for Managers
MBA 09
M.B.A. DEGREE EXAMINATION, JUNE 2007
Second Semester
Common for HRM/Marketing/Finance/International
Business
Paper IX QUANTITATIVE TECHNIQUES FOR MANAGERS
Time : Three hours Maximum : 100 marks
SECTION A (5 x 6 = 30 marks)
Answer any FIVE questions.
1. What are the limitations of operations research?
2. Explain the important terms of an LPP.
3. Obtain the initial basic feasible solution to the following using Least cost method.
|
To | |||||
|
D |
E |
F |
G | ||
|
A |
11 |
13 |
17 |
14 |
250 |
|
B |
16 |
18 |
14 |
10 |
300 |
|
C |
21 |
24 |
13 |
10 |
400 |
4. Explain the Hungarian method to solve an assignment problem.
5. Write Prims algorithm.
6. Explain the terminologies of Game theory.
7. What is Goal programming? Why we need goal programming.
8. Explain M/M/I model.
SECTION B (5 x 10 = 50 marks)
Answer any FIVE questions.
9. Solve graphically :
Max. z - Ix + 5y
Subject to x + 2y < 6 4x + 3y < 12 x,y >0 .
10. Use simplex method to solve Max. z = 6xx + 8x2 Subject to 5x1 +10x2<<60
4x1 + 4x2 < 40 xlfx2 0.
|
(2, 4) |
2 |
5 |
8 |
|
(3,5) |
5 |
11 |
17 |
|
(4, 5) |
3 |
6 |
15 |
|
(6, 7) |
3 |
9 |
27 |
|
(5, 8) |
1 |
4 |
7 |
|
(7, 8) |
4 |
19 |
28 |
(a) Draw the project network
(b) Calculate the length and variance of the critical path.
14. Use the dominance property to simplify the rectangular game and solve it graphically
Player B I II III IV
1 18 4 6 4
Player A 2 6 2 13 7 j'
3 11 5 17 3
4 7 6 12 2
15. At a central warehouse, vehicles arrive at the rate of 18 per hour and the arrival rate follows Poisson distribution. The unloading time of the vehicles follows exponential distribution and the unloading rate is 6 vehicles per hour. There are 4 unloading crews. Find the following
(a) Po and P3
(b) Lq,Ls,wq and Ws
16. Explain the determination of economic life of an asset.
SECTION C (1 x 20 = 20 marks)
17. A company produces two kinds of products X and Y production of either I or 7 requires 2 hours of production capacity in the plant. The plant has a maximum production capacity of 20 hours per week. The overtime hour should not exceed 4 hours 1 week. The plant manager has set the following goals arranged in the order of importance.
(a) to avoid any under utilization of production capacity
(b) to limit the overtime hours to 4 hours
(c) to minimize the overtime operation of the plant as much as possible
Formulate this as a goal programming problem and then solve it by simplex method.
|
Sl |
2 |
7 |
4 |
Supply 5 |
|
S2 |
3 |
3 |
7 |
8 |
|
S3 |
5 |
4 |
1 |
7 |
|
S4 |
1 |
6 |
2 |
14 |
|
Demand |
7 |
9 |
18 |
12. Ram Industry needs 5400 units/year of a bought -out component which will be used in its main product. The ordering cost is Rs. 250 per order and the carrying cost per unit per year is Rs. 30. Find the economic order quantity, the number of orders per year and the time between successive orders.
13. The following table lists the jobs of the network with their time estimates *
Job i j Duration
Optimistic Most likely Pessimistic
|
(1,2) |
3 |
6 |
15 |
|
(1, 6) |
2 |
5 |
14 |
|
(2, 3) |
6 |
12 |
30 |
3 MBA 09
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Attachment: |
| Earning: Approval pending. |
