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

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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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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This post was last modified on 19 February 2020