Download BU (Bangalore University) MBA (Master of Business Administration) 2nd Semester 2017 July Quantitative Techniques Operational Research Question Paper
PG ? 873
II Semester M.B.A. Degree Examinatlon, July 2017
(CBCS Scheme)
MANAGEMENT
2.6 : Quantitative Techniques and Operation Research
Time : 3 Hours
Instructions : Answerall the Sections.
Max. Marks :70
Calculators and normal distribution tables are allowed.
SECTION ?A
Answerany five of the following questions, each question carries five marks. (5x5=25)
1. Explain the role of queuing theory in decision-making and discuss its appIication.
2. Write a detailed note on role of operations research models in decision making.
3. Solve the following game theory using dominance principle.
Firm B
A1
A2
A3
A4
Firm A
B1
35
30
40
55
B2
65
20
50
60
Ba
25
15
00
10
B
05
00
1O
15
4. The captain of a cricket team has to allot five middle batting positions to five
batsmen. The average runs scored by each batsman at these positions are as
follows :
E
E
403100?
, Batting positions
19
60
35
16
40
20
59
IV
25
25
60
18
55
$8838<
Find the assignment of batsman to positions which would give the maximum
number of runs.
P.T.O.
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5. The Crux Honda Ltd. manufactures around 150 scooters. The daily production
varies from 146 to 154 depending upon the availability of raw materials and
other working conditions.
Production perday 146 147 ,148 149 150' 151 152 153 154
Probability 0.04 0.09 0.12 0.14 0.11 0.10 0.20 0.12 0.08
The finished scooters are transported in a specially arranged lorry accommodating
150 scooters, using the following random numbers :
80, 81, 76, 75, 64, 43, 18, 26, 10, 12, 65, 68, 69, 61 , 57. Simulate the process to
find out : ' V .
a) What will be the average number of ecoeters waiting in the factory ?
b) What will be the average number of empty space on the lorry ?
6. Find the sequence of the following eightjobs, that will minimize the total elapsed
time for the completion of all the jobs. Each job is processed inthe sameorder '
CAB. Entries given are time in hours on the machines. '
Jobs
.11 .12 .13 J4 J5 J, J, .16
g A 4 6 7 4 5 3 6 2
:3 B 8 1o 7 8 11 a 9 13
c; ' 5 6 2' 3 4 9 15 11
7. What is linear programming ? What is its importance in today?s business ?
SECTION ? B
Answerany three of the following questions, each question carries ten marks. (3x10=30)
8. DiscuSs the significance and Scope of operation research in modern business
management.
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9.
10.
A publisher has rest signed a contract for the publication of a book. What is the
earliest time that the book can be ready for distribution ? The tasks in the table
are involved, with the estimates given in weeks. '
Activity A B C D E F G H l J
Precedence ?- ? A, B A C, D E E C, D F, G l, H
Most likely 8 2 2 6 4 3 4 6 8 1
Optimistic 4 2 1 4 3 3 3 4? 6 1
Pessimistic 10 2 3 12 5 3 5 9 . 16 1
i) Draw a network and find the critical path, what is the expected length of the
critical path and what is its variance ?
ii) What is the probability that the length of the critical path does not exceed
a) 32 weeks
b) 36 weeks.
Solve the given LPP by simplex method.
Maximize Z = 5x1 + 10x2 + 8x3
? Subject to 3x1 + 5x.2 + 2x3 3 60
11.
-Week " 1 2 3 4 5
4x1 + 4x2 + 4x3 5 72
2x1 + 4x2 + 5x3 3100
x1, x2, x3 2 0.
The following mortality rates have been observed for a certain types of fuses :
% failing by the
end of week 5 15 35 75 100
There are 1000 fuses in use and it costs Rs. 5 to replace on individual fuse. It all
fuse were replaced simultaneously it would cost Rs. 1.25 per fuse. At what
intervals the groups replacement shouid be done ? Which policy is better ?
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SECTION ? C
12. Case study (compulsory) : (1 x15=15)
Solve the transportation problem to maximise profits and give criterion for
optimality.
Destinations
D1 02 D3 D4 Capacity
.3 P1 40 25 22 33 100
5?? P2 44 35 so so 30
P3 38 38 28 30 7o
Requlrement40 20 60 30 200 '
150
This post was last modified on 28 January 2020