Cochin University of Science and Techology (CUST) 2007 M.B.A Management Science - Question Paper
Time: 3 Hours
M.B.A. DEGREE (FT) U SEMESTER EXAMINATION, MAY 2007
SMS 2202 MANAGEMENT SCIENCE
MBA.F.2/07.2
Maximum marks : 50
(Answer ALL questions)
(All questions carry EQUAL marks)
Discuss the steps in decision theory.
The following matrix gives the pay off of different strategies Si, S2, S3 against different conditions N|, N2, N3 and N4.
Nj N2 N, N4 Sj 4000 -100 6000 18000
52 20000 5000 400 0
53 20000 15000 -2000 1000
Indicate the decision taken under approaches pessimistic, optimistic, regret and equal probability. (6)
OR
Explain the rules of game theory.
Solve the following game by using the principle of dominance:
(4)
(a)
(b)
B.
(a)
(b)
|
Player B | |||||||||||||||||||||||||||||||||||||||||||
|
Player A |
| ||||||||||||||||||||||||||||||||||||||||||
Maximise Z = 3*, - x2
II.
Subject to
2xj + x2 > 2 x1 + 3x2 < 3 x2 <, 4 and Xj, x2 ;> 0
OR
B.
Maximise Z = 12*, + 15jc2 + 14x3 Subject to
- Xj + x2 0 - x2 + 2x3 < 0 x, + xz + x3 < 100 and Xj,jc2,x3 >: 0
(a) Explain least cost method of solving transportation problem.
(4)
(b) Find the initial basic feasible solution to the following transportation problem using VAM and do test for optimality:
|
5 8 7 14 |
OR
B. (a) Explain assignment model and the steps.
(b) A department has four subordinated and 'four tasks to be performed. The subordinates differ in efficiency and tasks differ in their intrinsic difficulty. The estimates of the profit in rupees each man would earn is given in the effectiveness matrix. How should the tasks be allocated, one to each man, so as to maximize the total earnings ?
(6)
|
Task | |||||||||||||||||||||||||
|
(a) Explain the characteristics of queueing model. (4)
IV.
(b) A self service store employs one cashier at its counter. Nine customers arrive on an average every 5 minutes while the cashier can serve ten customers in 5 minutes. Assuming Poisson distribution for arrival rate and exponential distribution for service rate, find
(i) Average number of customers in the system.
(ii) Average time a customer spends in the system.
(iii) Average time a customer spends in the queue. (6)
OR
(a) State the assumptions cf sequencing problems. (4)
B.
(b) There are five jobs which are to be processed through three machines A, B and C in the same order. Processing time in hours are given. Determine the optimum sequence for the five jobs at the minimum elapsed time.
|
Job |
A |
B |
C |
|
1 |
3 |
4 |
7 |
|
2 |
8 |
5 |
9 |
|
3 |
7 |
1 |
5 |
|
4 |
5 |
2 |
6 |
|
5 |
4 |
3 |
10 |
V. A. (a) Where do you apply simulation model in business and state the limitations as well. (4)
OR
B. Table below shows jobs, normal and crash time and cost for a project. Indirect cost for the project is Rs.300 per day. Find the optimum duration and project cost.
|
Job |
Normal |
Crash | ||
|
Time (days) |
Cost (Rs.) |
Time (days) |
Cost (Rs.) | |
|
1-2 |
6 |
1400 |
4 |
1900 |
|
1-3 |
8 |
2000 |
5 |
2800 |
|
2-3 |
4 |
1100 |
2 |
1500 |
|
2-4 |
3 |
800 |
2 |
1400 |
|
3-4 |
Summary |
- |
- |
- |
|
2-5 |
6 |
900 |
3 |
1600 |
|
4-6 |
10 |
2500 |
6 |
3500 |
|
5-6 |
3 |
500 |
2 |
800 |
***
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Attachment: |
| Earning: Approval pending. |
