Download GTU MBA 2018 Summer 2nd Sem 820007 Research Methodology And Operations Research Rm And Or Question Paper

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

1

Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY
MBA ? SEMESTER 02 ? EXAMINATION ? SUMMER 2018

Subject Code: 820007 Date:28/05/2018
Subject Name: RESEARCH METHODOLOGY AND OPERATIONS
RESEARCH (RM&OR)
Time: 10:30 AM To 01:30 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.

Q.1 (a) Explain in detail ?Research Process? with example 07
Q. 1
(b) What is Hypothesis? Explain Null and Alternative Hypothesis in detail. 07
Q.2 (a)
Use Graphical method to solve following Linear Programming Problem:

Max. Z = 2X 1 + 1.5X 2
STC 36X 1 + 24X 2 ? 576
X 1 + X 2 ? 20
X 1, X 2 ? 0
07
Q. 2 (b) What is sampling? Explain any three non-probability sampling techniques in
detail.
07
OR
(b) Explain ?Survey technique? to collect primary data in detail. 07

Q.3 (a) Explain in detail ?Type I and Type II errors? 07
(b)
Write dual for the following:

Max Z = 4X 1 + 5X 2

STC 3X 1 + X 2 ? 15
X 1 + 2X 2 ? 10
5X 1 + 2X 2 ? 20
X 1, X 2 ? 0
07
OR
Q.3 (a) Write and explain components of ?Research Report Writing? 07
(b)
In the modification of plant layout of a factory, four machines M1, M2, M3 and M4
are to be installed. There are five places A, B, C, D and E available. Due to limited
space, M2 cannot be placed at C and M3 cannot be placed at A. The cost of locating
a machine at a place (in Rs. 100) is as follows. Find optimal assignment schedule.
A B C D E
M1 9 11 15 10 11
M2 12 9 -- 10 9
M3 -- 11 14 11 7
M4 14 8 12 7 8
M5 0 0 0 0 0

07

Q.4 (a)
Find Initial Feasible Solution (Total cost of transportation) for the following
transportation problem using North-west Corner rule. The following figures indicate
Cost of transportation (in Rs. per unit).
W1 W2 W3 W4 Supply
F1 14 25 45 5 6
F2 65 25 35 55 8
07
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1

Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY
MBA ? SEMESTER 02 ? EXAMINATION ? SUMMER 2018

Subject Code: 820007 Date:28/05/2018
Subject Name: RESEARCH METHODOLOGY AND OPERATIONS
RESEARCH (RM&OR)
Time: 10:30 AM To 01:30 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.

Q.1 (a) Explain in detail ?Research Process? with example 07
Q. 1
(b) What is Hypothesis? Explain Null and Alternative Hypothesis in detail. 07
Q.2 (a)
Use Graphical method to solve following Linear Programming Problem:

Max. Z = 2X 1 + 1.5X 2
STC 36X 1 + 24X 2 ? 576
X 1 + X 2 ? 20
X 1, X 2 ? 0
07
Q. 2 (b) What is sampling? Explain any three non-probability sampling techniques in
detail.
07
OR
(b) Explain ?Survey technique? to collect primary data in detail. 07

Q.3 (a) Explain in detail ?Type I and Type II errors? 07
(b)
Write dual for the following:

Max Z = 4X 1 + 5X 2

STC 3X 1 + X 2 ? 15
X 1 + 2X 2 ? 10
5X 1 + 2X 2 ? 20
X 1, X 2 ? 0
07
OR
Q.3 (a) Write and explain components of ?Research Report Writing? 07
(b)
In the modification of plant layout of a factory, four machines M1, M2, M3 and M4
are to be installed. There are five places A, B, C, D and E available. Due to limited
space, M2 cannot be placed at C and M3 cannot be placed at A. The cost of locating
a machine at a place (in Rs. 100) is as follows. Find optimal assignment schedule.
A B C D E
M1 9 11 15 10 11
M2 12 9 -- 10 9
M3 -- 11 14 11 7
M4 14 8 12 7 8
M5 0 0 0 0 0

07

Q.4 (a)
Find Initial Feasible Solution (Total cost of transportation) for the following
transportation problem using North-west Corner rule. The following figures indicate
Cost of transportation (in Rs. per unit).
W1 W2 W3 W4 Supply
F1 14 25 45 5 6
F2 65 25 35 55 8
07
2
F3 35 3 65 15 16
Demand 4 7 6 13 30

(b) What is operations research? Explain the nature of operations research in
detail.
07

OR
Q.4 (a) What is integer programming? Explain types of integer programming in
detail.
07
(b) Producer of two types of products found that the cost of product A is Rs. 3
per unit and that of product B is Rs. 4 per unit. It is found that product A needs
3 man hours and product B needs 2 man hours. There are total 150 man hours
available with company. Also product A requires 1 Kg. of Raw material per
unit and product B requires 2 Kg. of Raw material per unit. Assuming total
400 Kg. of Raw material available with company, formulate LPP.
07

Q.5 (a) What is Monte Carlo simulation? Explain advantages and limitations of
Monte Carlo simulations.
07
(b) Solve the following network and find out shortest path to reach from point
?s? to point ?t?.

07
OR

Q.5 (a) What is qualitative and quantitative research design? Explain difference
between them.
07
(b) A travelling salesman has to visit 5 cities. He wants to start from city A, visit
each city once and return back to city A. The travelling cost in Rs. thousand,
as given under:
A B C D E
A - 2 5 7 1
B 6 - 3 8 2
C 8 7 - 4 7
D 12 4 6 - 5
E 1 3 2 8 -

07

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