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Seat No.: Enrolment
GUJARAT TECHNOLOGICAL UNIVERSITY
MBA SEMESTER-2 EXAMINATION- WINTER 2018
Subject Code: 820007 Date: 28/12/2018
Subject Name: Research Methodology and operations research (RM OR)
Time: 2:30PM To 5:30PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
Q.
No.
Question Text and Description Marks
Q.1 What, if any, are the differences between solicited and unsolicited
proposals?
Distinguish between the following:
Exploratory and formal studies.
Experimental and ex post facto research designs.
07
07
Q.2 Write the dual of the following problem.
Minimize Z 3u 4v
subject to 5u 6v
8u 9v 10,
v 0.
07
Explain the difference between Qualitative and Quantitative Research. 07
OR
Explain in detail various steps of the research process. 07
Q.3 An automobile company wants to launch premium segment SUV in
Indian market. Before launching it, the company wants to conduct market
research on"Understanding Customer preference and purchase intention
for premium segment SUV in India". Prepare a questionnaire for the
same.
07
On an average, 5 customers reach a barber's shop every hour. Determine
the probability trust exactly 2 customers will reach in a 30 minute period,
assuming the arrivals follow poisson distribution.
07
OR
Q.3 What is Simulation? Describe Monte Carlo Simulation. Explain
applications of simulation in business environment.
07
What do we mean by Write some important features of
'Primal Dual' problem.
Write the dual of the following problem
Minimise Z=10X1+20X2
Subject to 3X1+2X2≥18
X1+3X2≥8
2X1-X2≤6
X1,X2
07
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Q.4 Explain the basic concepts of Sensitivity Analysis. What are the different
factors affecting the given solutions and how do we resolve them? Give a
brief comment on each of them.
07
Solve Graphically:
Maximise Z=10X1+15X2
Subject to 2X1+X2≤26
2X1+4X2≤56

X1,X2
07
OR
Q.4 What is a research? State each aspect of a good research and write
distinct features or characteristics of that aspect.
07

Find a simple (linear) regression using the following data.
X Y
5 58
10 41
10 45
15 27
15 26
20 12
20 16
25 3
07
Q.5
Define hypothesis in research terminology. What is a null hypothesis?
Give important features on each of the followings.
Descriptive Hypothesis Explanatory Hypothesis.
Explain type-I and type -II errors
07
A Travelling salesman has to visit five cities. He wishes to start from a
particular city, visit each city once and then return to his starting point.
The travelling cost (in Rs.) of each city from a particular city is given
below. What should be the sequence of the salesman's visit, so that the
cost is minimum?
07
OR
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Q.5 Explain salient features of 'Goal Programming'. 07

You work as a sales manager for a toy manufacturer, and you currently
have three salespeople on the road meeting buyers. Your salespeople are
in Austin, TX; Boston, MA; and Chicago, IL. You want them to fly to
three other cities: Denver, CO; Edmonton, Alberta; and Fargo, ND. The
table below shows the cost of airplane tickets in dollars between these
cities.
Denver Edmonton Fargo Austin 250 400 350 Boston 400 600 350
Chicago 200 400 250 Where should you send each of your salespeople in
order to minimize airfare?
From To D E F
A 250 400 350
B 400 600 350
C 200 400 250
Where should you send each of your salespeople in order to minimize
airfare?
07