PG-1001
II Semester M.B.A. Degree Examination, June/July 2015
(2007-08 Scheme)
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Management
2.6 : QUANTITATIVE METHODS AND OPERATIONS RESEARCH
Time : 3 Hours Max. Marks : 75
Instruction : Scientific calculators are allowed.
SECTION-A
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Answer any six questions. Each question carries two marks. (6x2=12)
- a) Define linear programming problem.
- b) What is unbalanced assignment?
- c) What is group replacement?
- d) What are the significance of VAM ?
- e) Define critical path.
- f) What is simulation ?
- g) What do you mean by degeneracy ?
- h) Mention the assumptions of EOQ model.
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SECTION-B
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Answer any three questions. Each question carries 8 marks. (3x8=24)
- “Operation research replaces management by personality”. Discuss.
- What is sequencing problem ? Give its essential characteristics.
- A company for one of the z-class items, placed 10 orders each of size 300 in a year. Given ordering cost Rs. 750, holding cost 45%, cost per unit Rs. 35. Find out the loss to the company in not operating scientific inventory policy.
- There are 6 jobs each of which must go through machines A, B and C in the order ABC processing time (in hours) given in the following table.
Determine the optimal sequence and total elapsed time.Job 1 2 3 4 5 6 Machine A 8 3 7 10 5 4 Machine B 6 4 8 2 1 7 Machine C 8 7 6 9 10 9 - Solve the problem of assignment for the given table to maximise the sales.
A B C D E 1 32 38 40 28 40 2 40 24 28 21 36 3 41 27 33 30 37 4 22 38 41 36 36 5 29 33 40 35 39
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SECTION-C
Answer any two of the following : (2x12=24)
- Explain the different models of O.R. How are these models useful in day to day operation ?
- Use the simplex method to solve the following L.P.P. Maximize Z = 3x1 + 5x2 + 4x3
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S.T. 2x1 + 3x2 = 8
2x2 + 5x3 = 10
3x1 + 2x2 + 4x3 = 15
and x1, x2, x3 = 0. - Simulation of demand forecasting.
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A dealer sells a particular model of washing machine for which the probability distribution of daily demand is as given below.
Find average demand of washing machine for 10 weeks. Random numbers for 10 weeks are given below. 89 34 78 63 61 81 39 16 13 73.Demand/Week 20 30 35 40 45 50 Probability 0.05 0.25 0.20 0.25 0.10 0.15
SECTION-D
10. Case study compulsory : (1x15=15)
Below given table has a list of activities and time estimates.
| Activity | Predecessor | Activity to | t m | tp |
|---|---|---|---|---|
| A | - | 2 | 4 | 10 |
| B | - | 3 | 4 | 5 |
| C | A | 1 | 2 | 3 |
| D | A | 4 | 6 | 14 |
| E | B | 4 | 5 | 12 |
| F | C | 3 | 4 | 6 |
| G | D, E | 1 | 1 | 8 |
- Construct a PERT network and determine the critical path.
- What is the probability that the project shall be complete within a period of 15 weeks ?
- What is the probability that the project is completed within 10 and 18 weeks ?
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