Download JNTUA (JNTU Anantapur) MBA (Master of Business Administration) 2nd Sem Supple 2015 Dec 9E00207 Operations Research Previous Question Paper
MBA & MBA (Finance) II Semester Supplementary Examinations December/January 2015/2016
OPERATIONS RESEARCH
(For students admitted in 2011, 2012, 2013 & 2014)
Time: 3 hours Max. Marks: 60
Answer any FIVE questions
All questions carry equal marks
*****
1 Explain six applications of operations research in managerial decision making.
2 Solve the following linear programming problem using Simplex method.
Maximize z = 6x+6y
Subject to constraints
3 Solve the following transportation problem to minimize the cost of transportation from factories to the
markets. The cost of transporting each unit from each factory to each market is given in the matrix.
Also given, the demand from each market and the capacity of each factory (in ?000 units). Find the
total cost of transportation for the optimal allocation.
M
1
M
2
M
3
Supply
capacity
F
1
5 10 8 500
F
2
9 9 4 600
F
3
3 6 7 800
F
4
5 6 2 300
F
5
1 3 6 200
Demand 750 750 900
4 A certain salesman has to visit five customers (A, B, C, D, E) as part of his sales rounds. The
distance between each customer?s location and others in km is given in the matrix below. Identify the
best sequence of visiting each customer so that he covers the minimum distance in doing so. How
much is this optimal distance?
A B C D E
A - 5 15 3 20
B 5 - 11 10 9
C 15 11 - 8 3
D 3 10 8 - 12
E 20 9 3 12 -
Contd. in page 2
Page 1 of 2
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Code: 9E00207
MBA & MBA (Finance) II Semester Supplementary Examinations December/January 2015/2016
OPERATIONS RESEARCH
(For students admitted in 2011, 2012, 2013 & 2014)
Time: 3 hours Max. Marks: 60
Answer any FIVE questions
All questions carry equal marks
*****
1 Explain six applications of operations research in managerial decision making.
2 Solve the following linear programming problem using Simplex method.
Maximize z = 6x+6y
Subject to constraints
3 Solve the following transportation problem to minimize the cost of transportation from factories to the
markets. The cost of transporting each unit from each factory to each market is given in the matrix.
Also given, the demand from each market and the capacity of each factory (in ?000 units). Find the
total cost of transportation for the optimal allocation.
M
1
M
2
M
3
Supply
capacity
F
1
5 10 8 500
F
2
9 9 4 600
F
3
3 6 7 800
F
4
5 6 2 300
F
5
1 3 6 200
Demand 750 750 900
4 A certain salesman has to visit five customers (A, B, C, D, E) as part of his sales rounds. The
distance between each customer?s location and others in km is given in the matrix below. Identify the
best sequence of visiting each customer so that he covers the minimum distance in doing so. How
much is this optimal distance?
A B C D E
A - 5 15 3 20
B 5 - 11 10 9
C 15 11 - 8 3
D 3 10 8 - 12
E 20 9 3 12 -
Contd. in page 2
Page 1 of 2
Code: 9E00207
5 Two firms must simultaneously elect a technology to use for their compatible products. If the firms
adopt different standards, few sales result. A common standard leads to higher sales. One
technology is significantly preferred by consumers over the other. Thus, if the companies can
standardize on the preferred technology, each obtains maximal profits. The payoff matrix is given
below. Solve the game and find the optimal solution. Also find the value of the game. Is it a pure or a
mixed game?
Firm 2
Firm 1
Good Bad
Good 5, 5 0, 0
Bad 0, 0 3, 3
6 Five jobs are to be done on three machines M
1
, M
2
, M
3
. Find the optimal sequence for the jobs using
special case of Johnsons rule. Find the idle time on each machine and the total time needed to
complete all the jobs.
M
1
M
2
M
3
J
1
9 2 12
J
2
10 3 11
J
3
15 4 15
J
4
8 4 9
J
5
7 5 6
7 In a certain bank customers arrive at an average rate of 40 per hour following a Poisson distribution.
The counter service rate is an average of 1 minute per customer following exponential distribution.
Find the average waiting time of the customers in the queue and in the bank. Also calculate the
average number of customers in the bank and the average length of the queue. What is the
probability of the counter being empty?
8 (a) How will you find the probability of completing a PERT project by a particular due date?
(b) Explain crashing of project networks.
*****
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