Download GTU (Gujarat Technological University) MBA 2019 Winter 3rd Sem 4539271 Operational Research Previous Question Paper

Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY

MBA ? SEMESTER III ? EXAMINATION ? WINTER 2019

Subject Code: 4539271 Date: 03/12/2019

Subject Name: Operational Research

Time: 10:30AM to 01:30PM Total Marks: 70

Instructions:

1. Attempt all questions.

2. Make suitable assumptions wherever necessary.

3. Figures to the right indicate full marks.

Q.1 Explain the following 14

(a) Saddle Point

(b) Monte Carlo Simulation

(c) Shadow Price (Simplex Multiplier)

(d) Optimal Solution

(e) Queuing system

(f) Big M method

(g) equilibrium of steady ? state

Q.2 (a) State the different types of models used in OR. Explain briefly the general

methods for solving these OR models.

07

(b) What is meant by a mathematical model of a real situation? Discuss the

importance of models in the solution of OR problems.

07

OR

(b) ?Linear programming has no real-life applications?; Do you agree with this

statement? Discuss.

07

Q.3 (a) Discuss the role of sensitivity analysis in linear programming. Under what

circumstances is it needed, and under what conditions do you think it is not

necessary?

07

(b) Suppose you are being interviewed by the manger of a commercial firm for a job

in the research department which deals with the application of quantitative

techniques. Explain the scope and purpose of quantitative techniques and its

usefulness to the firm. Give some examples of the application of quantitative

techniques in the industry.

07

OR

Q.3 (a) What so you understand by Markov chains? In what areas of management can it

be applied successfully?

07

(b) What is a queuing theory problem? Describe the advantages of queuing theory to

a business executive with view to persuading him to make use of the same in

management.

07

Q.4 (a) What is a game in game theory? What are the properties of a game? Explain the

'best strategy' on the basis of minimax criterion of optimality.

07

(b) Define simulation. Why is simulation used? Give one application area when this

technique is used in practice.

07

OR

Q.4 (a) State a transportation problem in general terms and explain the problem of

degeneracy. How does one overcome it?

07

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Page 1 of 2

Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY

MBA ? SEMESTER III ? EXAMINATION ? WINTER 2019

Subject Code: 4539271 Date: 03/12/2019

Subject Name: Operational Research

Time: 10:30AM to 01:30PM Total Marks: 70

Instructions:

1. Attempt all questions.

2. Make suitable assumptions wherever necessary.

3. Figures to the right indicate full marks.

Q.1 Explain the following 14

(a) Saddle Point

(b) Monte Carlo Simulation

(c) Shadow Price (Simplex Multiplier)

(d) Optimal Solution

(e) Queuing system

(f) Big M method

(g) equilibrium of steady ? state

Q.2 (a) State the different types of models used in OR. Explain briefly the general

methods for solving these OR models.

07

(b) What is meant by a mathematical model of a real situation? Discuss the

importance of models in the solution of OR problems.

07

OR

(b) ?Linear programming has no real-life applications?; Do you agree with this

statement? Discuss.

07

Q.3 (a) Discuss the role of sensitivity analysis in linear programming. Under what

circumstances is it needed, and under what conditions do you think it is not

necessary?

07

(b) Suppose you are being interviewed by the manger of a commercial firm for a job

in the research department which deals with the application of quantitative

techniques. Explain the scope and purpose of quantitative techniques and its

usefulness to the firm. Give some examples of the application of quantitative

techniques in the industry.

07

OR

Q.3 (a) What so you understand by Markov chains? In what areas of management can it

be applied successfully?

07

(b) What is a queuing theory problem? Describe the advantages of queuing theory to

a business executive with view to persuading him to make use of the same in

management.

07

Q.4 (a) What is a game in game theory? What are the properties of a game? Explain the

'best strategy' on the basis of minimax criterion of optimality.

07

(b) Define simulation. Why is simulation used? Give one application area when this

technique is used in practice.

07

OR

Q.4 (a) State a transportation problem in general terms and explain the problem of

degeneracy. How does one overcome it?

07

Page 2 of 2

(b) What is the principle of duality? What is the significance of dual variables in a

LP model? Explain its advantages.

07

Q.5

CASE STUDY:

A manufacturer of jeans is interested in developing an advertising campaign that will

reach four different age groups. Advertising campaigns can be conducted through TV,

radio and magazines. The following table gives the estimated cost in paise per exposure

for each age group according to the medium employed. In addition, maximum exposure

levels possible in each of the media, namely TV, radio and magazines are 40, 30, and 20

million, respectively. Also the minimum desired exposure within each age group,

namely 13 - 18, 19 - 25, 26 - 35, 36 and older are 30, 25, 15 and 10 millions. The

objective is to minimize the cost of attaining the minimum exposure level in each age

group.

Media

Age Groups

13-18 19-25 26-35 36 and older

TV 12 7 10 10

Radio 10 9 12 10

Magazine 14 12 9 12

(a) Formulate the above as a transpiration problem and find the feasible solution

using Vagel's Approximation Method.

07

(b) Find optimal solution of above problem. 07

OR

Q.5 (a) Formulate the above as a transpiration problem and find the feasible solution

using Least Cost Method.

07

(b)

Solve this problem if the policy is to provide at least 4 million exposures

through TV in the 13 - 18 age group and at least 8 million exposures through

TV in the age group 19-25.

07

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This post was last modified on 19 February 2020