Download GTU MBA 2018 Winter 2nd Sem 2820007 Quantitative Analysis Ii Question Paper

1

Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY
MBA ? SEMESTER 2 ? EXAMINATION ? WINTER 2018

Subject Code:2820007 Date: 28/12/ 2018
Subject Name: Quantitative Analysis II
Time: 02:30 to 05:30 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) Choose the correct option from the following questions: 06
1.
Which technique is used in finding a solution for optimizing a given
objective, such as profit maximization or cost minimization under certain
constraints?

A. Queuing Theory B. Waiting Line Theory
C. Both A & B D. Linear Programming
2.
Every LPP is associated with certain limitations/conditions which is called as
? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?

A. Limiting Factor B. Key Factor
C. Constraints D None of the above
3.
A feasible solution is called a basic feasible solution if the number of
non? negative allocations is equal to ??????

A. m ? n+1 B. m ? n? 1
C. m+n ? 1 D. None of the above
4.
From the following which constraint is not a constraint if the problem is of a
maximization type?

A. 2x1 + 3x2 ? 60 B. 4x1 + 3x2 ? 96
C. 6x1 + 4x2 = 150 D. 5x1 + 2x2 ? 106
5.
If Optimal Solution is x1=60 and x2=40 what would be the value of slack for
constraint 2x1 + 4x2 = 400?

A. 120 B. 150
C. 280 D. 180
6.
In ?????????? models one can estimate randomly demand, sales,
profit, cost etc by running random numbers.

A. Simulation B. Markov Chain
C. Symbolic D. None

Q.1 (b) Briefly explain the following terms.

1. Degeneracy in Transportation Problem
2. Maximization in Linear Programming
3. Infeasibility
4. Unbounded Solution
04

Q.1 (c) Explain the concept of Infeasibility with respect to graphical solution of
a LPP
04

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1

Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY
MBA ? SEMESTER 2 ? EXAMINATION ? WINTER 2018

Subject Code:2820007 Date: 28/12/ 2018
Subject Name: Quantitative Analysis II
Time: 02:30 to 05:30 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) Choose the correct option from the following questions: 06
1.
Which technique is used in finding a solution for optimizing a given
objective, such as profit maximization or cost minimization under certain
constraints?

A. Queuing Theory B. Waiting Line Theory
C. Both A & B D. Linear Programming
2.
Every LPP is associated with certain limitations/conditions which is called as
? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?

A. Limiting Factor B. Key Factor
C. Constraints D None of the above
3.
A feasible solution is called a basic feasible solution if the number of
non? negative allocations is equal to ??????

A. m ? n+1 B. m ? n? 1
C. m+n ? 1 D. None of the above
4.
From the following which constraint is not a constraint if the problem is of a
maximization type?

A. 2x1 + 3x2 ? 60 B. 4x1 + 3x2 ? 96
C. 6x1 + 4x2 = 150 D. 5x1 + 2x2 ? 106
5.
If Optimal Solution is x1=60 and x2=40 what would be the value of slack for
constraint 2x1 + 4x2 = 400?

A. 120 B. 150
C. 280 D. 180
6.
In ?????????? models one can estimate randomly demand, sales,
profit, cost etc by running random numbers.

A. Simulation B. Markov Chain
C. Symbolic D. None

Q.1 (b) Briefly explain the following terms.

1. Degeneracy in Transportation Problem
2. Maximization in Linear Programming
3. Infeasibility
4. Unbounded Solution
04

Q.1 (c) Explain the concept of Infeasibility with respect to graphical solution of
a LPP
04

2
Q.2 (a) Obtain graphically the solution to the following LPP:
Maximize Z = x1 + 3x2
Subject to
x1 + 2x2 ? 9
x1 + 4x2 ? 11
x1 - x2 ? 2
x1, x2 ? 0
07
(b) Explain Minimum-Spanning tree, Maximal Flow and Shortest Route models 07
OR
(b) Discuss the concept of Brand Switching with an example. What is steady state
condition in Markov Analysis?
07
Q.3 (a) How many air-conditioners to transport from each factory to each wholesaler
on a monthly basis in order to minimize the total cost of transportation

07

(b) A salesman has to visit four cities A, B, C, and D. The inter-city distances are
given as follows:

If the salesman starts from city A and has to back to city A, which route should
he select so that the total distance travelled by him is the minimum?
07
OR
Q.3 (a) ABC company is engaged in manufacturing 5 brands of packed snacks. It is
having five manufacturing setups, each capable of manufacturing any of its
brands one at a time. The cost to make a brand on these setups vary according
to the table below:

Find the optimum assignment resulting in the minimum cost.
07
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1

Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY
MBA ? SEMESTER 2 ? EXAMINATION ? WINTER 2018

Subject Code:2820007 Date: 28/12/ 2018
Subject Name: Quantitative Analysis II
Time: 02:30 to 05:30 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) Choose the correct option from the following questions: 06
1.
Which technique is used in finding a solution for optimizing a given
objective, such as profit maximization or cost minimization under certain
constraints?

A. Queuing Theory B. Waiting Line Theory
C. Both A & B D. Linear Programming
2.
Every LPP is associated with certain limitations/conditions which is called as
? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?

A. Limiting Factor B. Key Factor
C. Constraints D None of the above
3.
A feasible solution is called a basic feasible solution if the number of
non? negative allocations is equal to ??????

A. m ? n+1 B. m ? n? 1
C. m+n ? 1 D. None of the above
4.
From the following which constraint is not a constraint if the problem is of a
maximization type?

A. 2x1 + 3x2 ? 60 B. 4x1 + 3x2 ? 96
C. 6x1 + 4x2 = 150 D. 5x1 + 2x2 ? 106
5.
If Optimal Solution is x1=60 and x2=40 what would be the value of slack for
constraint 2x1 + 4x2 = 400?

A. 120 B. 150
C. 280 D. 180
6.
In ?????????? models one can estimate randomly demand, sales,
profit, cost etc by running random numbers.

A. Simulation B. Markov Chain
C. Symbolic D. None

Q.1 (b) Briefly explain the following terms.

1. Degeneracy in Transportation Problem
2. Maximization in Linear Programming
3. Infeasibility
4. Unbounded Solution
04

Q.1 (c) Explain the concept of Infeasibility with respect to graphical solution of
a LPP
04

2
Q.2 (a) Obtain graphically the solution to the following LPP:
Maximize Z = x1 + 3x2
Subject to
x1 + 2x2 ? 9
x1 + 4x2 ? 11
x1 - x2 ? 2
x1, x2 ? 0
07
(b) Explain Minimum-Spanning tree, Maximal Flow and Shortest Route models 07
OR
(b) Discuss the concept of Brand Switching with an example. What is steady state
condition in Markov Analysis?
07
Q.3 (a) How many air-conditioners to transport from each factory to each wholesaler
on a monthly basis in order to minimize the total cost of transportation

07

(b) A salesman has to visit four cities A, B, C, and D. The inter-city distances are
given as follows:

If the salesman starts from city A and has to back to city A, which route should
he select so that the total distance travelled by him is the minimum?
07
OR
Q.3 (a) ABC company is engaged in manufacturing 5 brands of packed snacks. It is
having five manufacturing setups, each capable of manufacturing any of its
brands one at a time. The cost to make a brand on these setups vary according
to the table below:

Find the optimum assignment resulting in the minimum cost.
07
3

(b) Explain the concept of Goal Programming. Explain preemptive and non-
preemptive goal programming.
07
Q.4 (a) What is queuing theory? In what type of problem situation can it be applied
successfully? Discuss giving examples
07
(b) A bakery keeps stock of a popular brand of cakes. Previous experience shows
the daily demand pattern for the item with associated probabilities, as given:
Daily demand (Nos.): 0 10 20 30 40 50
Probability : 0.01 0.20 0.15 0.50 0.12 0.02
Us the following sequence of random numbers to simulate the demand for next
10 days. Also find out the average demand per day.
Random numbers : 25, 39, 65, 76, 12, 05, 73, 89, 19, 49
07
OR
Q.4 (a) What is simulation? Discuss Monte Carlo simulation with example. State its
07
(b) In a certain market, only two brands of lipsticks A and B are sold. Given that a
lady last purchased lipstick A, there is 80% chance that she would but the same
brand in the next purchase, while if a lady purchased brand B, there is 90%
chance that her next purchase would be brand B. using this information,
develop transition probability matrix.
Calculate:
a) the probability that if a customer is currently a brand A purchaser, she will
purchase brand B two purchases from now;

07

Q.5 (a) What do you understand by Markov process? In what areas of management can
it be applied successfully?
07
(b) What is an unbalanced assignment problem? How is the Hungarian
Assignment Method applied in respect of such problem?
07
OR
Q.5 (a) What is degeneracy? How does the problem of degeneracy arise in a
transportation problem? How can we deal with this problem?
07
(b) Explain the concept of Integer Programming problem. Explain types of IPP. 07
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