Seat No.:
Subject Code: 820007
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GUJARAT TECHNOLOGICAL UNIVERSITY
MBA — SEMESTER 02 - EXAMINATION - SUMMER 2018
Subject Name: RESEARCH METHODOLOGY AND OPERATIONS RESEARCH (RM&OR)
Time:10:30 AM To 01:30 PM
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Instructions:
- Attempt all questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
Q1 (a) Explain in detail “Research Process” with example 07
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Q.1 (b) What is Hypothesis? Explain Null and Alternative Hypothesis in detail. 07
Q2 (a) Use Graphical method to solve following Linear Programming Problem: 07
Max. Z=2X1 + 1.5X2
STC 36X1 + 24X2 = 576
X1 + X2 = 20
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X1, X2 = 0
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
Q3 (a) Explain in detail “Type I and Type II errors” 07
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(b) Write dual for the following: 07
Max Z = 4X1 + 5X2
STC 3X1 + X2 = 15
X1 + 2X2 = 10
5X1 + 2X2 = 20
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X1, X2 = 0
OR
Q3 (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. 07
| 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 |
Q4 (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). 07
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| W1 | W2 | W3 | W4 | Supply | |
|---|---|---|---|---|---|
| F1 | 14 | 25 | 45 | 5 | 6 |
| F2 | 65 | 25 | 35 | 55 | 8 |
| Demand | 4 | 7 | 6 | 13 | 30 |
(b) What is operations research? Explain the nature of operations research in detail. 07
OR
Q4 (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
Q5 (a) What is Monte Carlo simulation? Explain advantages and limitations of Monte Carlo simulations. 07
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(b) Solve the following network and find out shortest path to reach from point “s” to point “t”. 07
OR
Q5 (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: 07
Enrolment No.
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Date:28/05/2018
Total Marks: 70
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