Download BU (Bangalore University) MBA (Master of Business Administration) 2nd Semester 2016 July Quantitative Techniques Operational Research Question Paper
II Semester M.B.A. Degree Examination, July 2016
(CBCS)
MANAGEMENT
2.6 : Quantitative Techniques and Operation Research
Time : 3 Hours Max. Marks :70
SECTION ?A
Answer any five of the following. Each question carries five marks. (5x5=25)
1. Distinguish between Analytical and Simulation Models.
2. A firm is considering replacement of a machine whose cost price is Rs. 12,200
and the scrap value is Rs. 200. The maintenance costs are found from experience
to be as follows :
Year 1 2 3 4 5 6 7 8
Maintenance
200 500 800 1200 1800 2500 3200 4000
Cost(Rs.)
What is the optimal replacement interval forthis machine ?
3. Five jobs are to be processed and five machines are available. Any machine can
process any job with resulting. Profit (in Rs.) as follows. Find assignment pattern
that maximizes the sales.
Machines
A B C D E
1 70 75 71 60 80
Jobs 2 55 57 64 61 50
3 60 54 80 71 55
4 80 72 75 65 70
5 50 56 70 51 72
4. Explain the essential features of queuing system.
P.T.O.
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5. What is degeneracy ? How it can be resolved in case of Transportation ?
6. Find out the sequence that minimizes the total elapsed time required in performing
the following tasks on machine M1 and M2 in the order M1, M2. Also, ?nd the
minimum total elapsed time. ?
TaskABCDEFGHI
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1
M6874393811
2
7. Moon Light Bakery keeps stock of a popular brand of cake. Previous experience
indicates the daily demand as given here.
Daily Demand 0 10 20 30 4O 50
Probability .01 .20 .15 .50 .12 .02
Consider the following sequence of random numbers.
R. No. 48, 78, 19, 51 , 56, 77, 15, 14, 68, 09.
Simulate the demand for next 10 days. Find out the stock situation if the owner of
the bakery decides to make 30 cakes every day. Also estimate the daily average
demand for the cakes on the basis ot simulated data.
SECTION ? B
Answerany three of the following questions each question carries ten marks. (1 0x3=30)
8. National Oil Co. has three refineries and 4 depots. Transaction costs per barrel
and requirements are given below. Determine optimal allocation of output.
D1 D2 D3 D4 Capacity
R1 5 7 13 10 700
R2 8 6 14 13 400
R3 12 10 9 1 1 800
Requirement 300 600 700 400
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9. ?Operation Research is the application of Scientific Methods, techniques and
tools to problems involving in the operations of a system so as to provide those
in control of the systems with optimum solution to the problems." Discuss with
suitable examples.
10. Determine the dominance principle of game theory using the following :
Firm B
B1 32 33 B4
A1 15 35 25 5
Firm A A2 10 20 5 0
A3 20 50 1o 5
A4 25 55 15 20
11. A project consists of eight activities with the following relevant information :
Activities
Immediate
Predecessor
Estimated
Duration
(Days)
Optimistic
Most Likely
Pessimistic
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A
B
C
DE
F,G
1) Draw the PERT network and determine critical path.
2) If a 30 days deadline is imposed, what is the probability that the project will be
finished within the time ?
3) If the project manager wants to be 99% sure that the project is completed on
the scheduled date, how many Weeks before that date should he start the
project work ?
PG ? 923
12. Case Study (Compulsory) :
A company manufactures three types of parts which use precious metals platinum
and gold. Due to shortage of these precious metals, the govt. regulates the
amount that may be used per day. The relevant data with respect to supply
requirements and profit are summarized in the table shown below :
.4,
SECTION ?C
Platinum Gold Required Profit
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A 2 3 500
B 4 2 600
c 6 4 1200
Daily allotment of platinum and gold are 160 gm and 120 gm respectively.
Determine the optimum profit underSimplex Method.
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This post was last modified on 28 January 2020