Download GTU (Gujarat Technological University) MBA (Master of Business Administration) 2018 Winter 2nd Sem 820007 Research Methodology And Operations Research Rm And Or Previous Question Paper

Seat No.: ________ Enrolment No.___________

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 (a) What, if any, are the differences between solicited and unsolicited

proposals?

(b) Distinguish between the following:

(1) Exploratory and formal studies.

(2) Experimental and ex post facto research designs.

07

07

Q.2 (a) Write the dual of the following problem.

Minimize Z = 3u + 4v

subject to 5u + 6v ? 7,

8u + 9v ? 10,

u, v ? 0.

07

(b) Explain the difference between Qualitative and Quantitative Research. 07

OR

(b) Explain in detail various steps of the research process. 07

Q.3 (a) 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

(b) 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 (a) What is Simulation? Describe Monte Carlo Simulation. Explain

applications of simulation in business environment.

07

(b) What do we mean by ?Duality?? 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 ?0

07

FirstRanker.com - FirstRanker's Choice

Page 1 of 3

Seat No.: ________ Enrolment No.___________

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 (a) What, if any, are the differences between solicited and unsolicited

proposals?

(b) Distinguish between the following:

(1) Exploratory and formal studies.

(2) Experimental and ex post facto research designs.

07

07

Q.2 (a) Write the dual of the following problem.

Minimize Z = 3u + 4v

subject to 5u + 6v ? 7,

8u + 9v ? 10,

u, v ? 0.

07

(b) Explain the difference between Qualitative and Quantitative Research. 07

OR

(b) Explain in detail various steps of the research process. 07

Q.3 (a) 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

(b) 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 (a) What is Simulation? Describe Monte Carlo Simulation. Explain

applications of simulation in business environment.

07

(b) What do we mean by ?Duality?? 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 ?0

07

Page 2 of 3

Q.4 (a) 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

(b) Solve Graphically:

Maximise Z=10X1+15X2

Subject to 2X1+X2?26

2X1+4X2?56

X1-X2?-5

X1,X2 ?0

07

OR

Q.4 (a) What is a research? State each aspect of a good research and write

distinct features or characteristics of that aspect.

07

(b)

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

(a) Define hypothesis in research terminology. What is a null hypothesis?

Give important features on each of the followings.

(1) Descriptive Hypothesis (2) Explanatory Hypothesis.

Explain type-I and type ?II errors

07

(b) 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

FirstRanker.com - FirstRanker's Choice

Page 1 of 3

Seat No.: ________ Enrolment No.___________

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 (a) What, if any, are the differences between solicited and unsolicited

proposals?

(b) Distinguish between the following:

(1) Exploratory and formal studies.

(2) Experimental and ex post facto research designs.

07

07

Q.2 (a) Write the dual of the following problem.

Minimize Z = 3u + 4v

subject to 5u + 6v ? 7,

8u + 9v ? 10,

u, v ? 0.

07

(b) Explain the difference between Qualitative and Quantitative Research. 07

OR

(b) Explain in detail various steps of the research process. 07

Q.3 (a) 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

(b) 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 (a) What is Simulation? Describe Monte Carlo Simulation. Explain

applications of simulation in business environment.

07

(b) What do we mean by ?Duality?? 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 ?0

07

Page 2 of 3

Q.4 (a) 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

(b) Solve Graphically:

Maximise Z=10X1+15X2

Subject to 2X1+X2?26

2X1+4X2?56

X1-X2?-5

X1,X2 ?0

07

OR

Q.4 (a) What is a research? State each aspect of a good research and write

distinct features or characteristics of that aspect.

07

(b)

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

(a) Define hypothesis in research terminology. What is a null hypothesis?

Give important features on each of the followings.

(1) Descriptive Hypothesis (2) Explanatory Hypothesis.

Explain type-I and type ?II errors

07

(b) 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

Page 3 of 3

Q.5 (a) Explain salient features of ?Goal Programming?. 07

(b)

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

*************

FirstRanker.com - FirstRanker's Choice

This post was last modified on 19 February 2020