Download JNTUA (JNTU Anantapur) MBA (Master of Business Administration) 2018 May-June Supplementary 2nd Sem 14E00205 Operations Research Previous Question Paper
MBA II Semester Supplementary Examinations June/July 2018
OPERATIONS RESEARCH
(For students admitted in 2014, 2015 & 2016 only)
Time: 3 hours Max. Marks: 60
SECTION ? A
(Answer the following: (05 X 10 = 50 Marks)
*****
1 Describe the relationship between quantitative analyst and the manager.
OR
2 Solve the following LPP using graphical method:
Max z = 4x
1
+5x
2
Subject to constraints: 5x
1
+x
2
<=20
x
1
+5x
2
<=20
x
1
,x
2
>=0
3 Find the initial feasible solution for the following transportation problem using any two methods and
compare the cost of transportation. The products are to be transported from three factories to three
market destinations. The cost of transportation in Rs. per unit is given in the matrix. The demand and
supply in ?000 units is also given in the matrix.
D1 D2 D3 Supply capacity
F1 9 10 5 200
F2 4 12 15 100
F3 8 25 20 50
Demand 150 125 75
OR
4 Four jobs are to be allotted to a worker each. Five workers are available and each worker?s cost of
doing the job (in Rs. ?000) are as shown in the matrix below. Choose the right worker for the right job.
J1 J2 J3 J4
W1 5 6 8 2
W2 3 7 9 11
W3 8 7 3 11
W4 11 9 7 5
W5 12 6 8 9
5 Five jobs have to be sequenced on two machines to minimize the total throughput time. The process
for each job is to first complete the work on machine 1 and then on machine 2. No machine can do
multitasking. Decide the sequence of the jobs for optimum total finish time. Show the start and finish
times for each of the jobs.
J1 J2 J3 J4 J5
Machine 1 2 6 10 13 4
Machine 2 12 7 4 6 8
OR
6 Explain the principles of game theory. What is an unfair game? Explain the concept of saddle point.
What is the approach if saddle point is not present in a game?
7 Explain the assumptions involved in waiting lines theory.
OR
8 A certain bank has 40 customers arriving every hour on an average following Poisson distribution. It
takes the cash counter an average of 1 minute to service each customer, following exponential
distribution. Compute the average waiting time of a customer in the bank and the queue. Also
compute the average queue size and the number of people inside the bank at any given point of time.
Contd. in page 2
Page 1 of 2
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Code: 14E00205
MBA II Semester Supplementary Examinations June/July 2018
OPERATIONS RESEARCH
(For students admitted in 2014, 2015 & 2016 only)
Time: 3 hours Max. Marks: 60
SECTION ? A
(Answer the following: (05 X 10 = 50 Marks)
*****
1 Describe the relationship between quantitative analyst and the manager.
OR
2 Solve the following LPP using graphical method:
Max z = 4x
1
+5x
2
Subject to constraints: 5x
1
+x
2
<=20
x
1
+5x
2
<=20
x
1
,x
2
>=0
3 Find the initial feasible solution for the following transportation problem using any two methods and
compare the cost of transportation. The products are to be transported from three factories to three
market destinations. The cost of transportation in Rs. per unit is given in the matrix. The demand and
supply in ?000 units is also given in the matrix.
D1 D2 D3 Supply capacity
F1 9 10 5 200
F2 4 12 15 100
F3 8 25 20 50
Demand 150 125 75
OR
4 Four jobs are to be allotted to a worker each. Five workers are available and each worker?s cost of
doing the job (in Rs. ?000) are as shown in the matrix below. Choose the right worker for the right job.
J1 J2 J3 J4
W1 5 6 8 2
W2 3 7 9 11
W3 8 7 3 11
W4 11 9 7 5
W5 12 6 8 9
5 Five jobs have to be sequenced on two machines to minimize the total throughput time. The process
for each job is to first complete the work on machine 1 and then on machine 2. No machine can do
multitasking. Decide the sequence of the jobs for optimum total finish time. Show the start and finish
times for each of the jobs.
J1 J2 J3 J4 J5
Machine 1 2 6 10 13 4
Machine 2 12 7 4 6 8
OR
6 Explain the principles of game theory. What is an unfair game? Explain the concept of saddle point.
What is the approach if saddle point is not present in a game?
7 Explain the assumptions involved in waiting lines theory.
OR
8 A certain bank has 40 customers arriving every hour on an average following Poisson distribution. It
takes the cash counter an average of 1 minute to service each customer, following exponential
distribution. Compute the average waiting time of a customer in the bank and the queue. Also
compute the average queue size and the number of people inside the bank at any given point of time.
Contd. in page 2
Page 1 of 2
Code: 14E00205
9 A certain transport company has the following resale value for a truck which costs Rs.400,000 over a
period of 7 years. The running costs are also given. Decide after how many years the firm should
consider buying a new truck.
1 2 3 4 5 6 7
Value 350,000 300,000 200,000 100,000 50,000 50,000 50,000
Running cost 50,000 70,000 90,000 130,000 150,000 170,000 190,000
OR
10 Explain the rules for drawing a network diagram. What is the critical path and what is its significance?
What is float, where is it useful? What is crashing and why is it done?
SECTION ? B
(Compulsory question, 01 X 10 = 10 Marks)
11 Case Study:
A firm is considering three products A, B and C. The firm can produce a maximum of 1000 units
of A, 500 units of B and 350 units of C. The profitability per unit product is Rs.10 for A, Rs.20 for B
and Rs.40 for C. The firm can produce a combined total of 1300 units of all three products. Formulate
the linear programming problem to maximize the profitability and solve it using Simplex method.
*****
Page 2 of 2
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This post was last modified on 27 July 2020