# Download GTU MBA 2019 Summer 4th Sem 3549271 Operations Research Question Paper

Page 1 of 2

Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY
MBA ? SEMESTER 4 ? EXAMINATION ? SUMMER 2019

Subject Code:3549271 Date:04/05 2019
Subject Name: Operations Research
Time: 10.30a.m to 1.30 p.m. Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.

Q. No. Marks
Q.1 Write brief about following terms
(a) Monte carlo simulation
(b) Unbounded Solutions in LPP
(c) Unbalanced transportation problem
(d) Big M method
(e) Saddle point in game theory
(f) Transshipment Problem
(g) Queuing System

14
Q.2 (a) Write a note on Characteristics of Queuing System 07
(b) Write a note on duality and its rules 07

OR
(b) Write a note on degeneracy and multiple solutions in LPP

07

Q.3 (a) Write a note on Properties of Linear Programming Model 07
(b) Write a note on Procedure for Numbering the Events Using Fulkerson?s
Rule
07
OR
Q.3 (a) What is game in game theory? what are the properties of a game? Explain
two-person zero sum game with suitable example.
07
(b) Discuss continuous in time vs Direct in time models 07

Q.4 (a) Explain Single Server Queuing Model in detail with example 07
(b) Write a note on CPM, float and slack times. 07
OR
Q.4 (a) A bakery keeps stock of popular brand of cake. Previous experience
shows the daily demand pattern for the item with associated probabilities,
as given below
Daily demand : 0 10 20 30 40 50
Probability 0.01 0.20 0.15 0.50 0.12 0.02

Use the following sequence of random numbers to simulate the demand
for next 10 days.

Random numbers: 25,39,65,76,12,05,73,89,19,49
Also calculate average demand of cakes.

07
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Page 1 of 2

Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY
MBA ? SEMESTER 4 ? EXAMINATION ? SUMMER 2019

Subject Code:3549271 Date:04/05 2019
Subject Name: Operations Research
Time: 10.30a.m to 1.30 p.m. Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.

Q. No. Marks
Q.1 Write brief about following terms
(a) Monte carlo simulation
(b) Unbounded Solutions in LPP
(c) Unbalanced transportation problem
(d) Big M method
(e) Saddle point in game theory
(f) Transshipment Problem
(g) Queuing System

14
Q.2 (a) Write a note on Characteristics of Queuing System 07
(b) Write a note on duality and its rules 07

OR
(b) Write a note on degeneracy and multiple solutions in LPP

07

Q.3 (a) Write a note on Properties of Linear Programming Model 07
(b) Write a note on Procedure for Numbering the Events Using Fulkerson?s
Rule
07
OR
Q.3 (a) What is game in game theory? what are the properties of a game? Explain
two-person zero sum game with suitable example.
07
(b) Discuss continuous in time vs Direct in time models 07

Q.4 (a) Explain Single Server Queuing Model in detail with example 07
(b) Write a note on CPM, float and slack times. 07
OR
Q.4 (a) A bakery keeps stock of popular brand of cake. Previous experience
shows the daily demand pattern for the item with associated probabilities,
as given below
Daily demand : 0 10 20 30 40 50
Probability 0.01 0.20 0.15 0.50 0.12 0.02

Use the following sequence of random numbers to simulate the demand
for next 10 days.

Random numbers: 25,39,65,76,12,05,73,89,19,49
Also calculate average demand of cakes.

07
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(b) How to verify and refine a mathematical model? 07
Q.5

A frim makes two products X and Y and has a total production capacity of
9 tons per day, Both X and Y require the same production capacity. The
firm has a permanent contract to supply at least 2 tons of X and at least 3
tons of Y per day to another company. Each ton of X requires 20 machine
hours of production time and each ton of Y requires 50 machine hours of
production time. The daily maximum possible number of machine hours is
360. All of the firm?s output can be sold. The profit made is rs.80 per ton
of X and rs.120 per ton of Y.

(a) Identify decision variables and prepare objective function 07
(b) Formulate given LPP and suggest suitable method for solution 07
OR
Q.5 (a) Write constrains and objective function of given situation 07
(b)

Find solution of given problem 07

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