DISTANCE EDUCATION
M.B.A. DEGREE EXAMINATION, DECEMBER 2017.
Second Semester
QUANTITATIVE METHODS
(Upto 2012 13 Academic Year and 2013 Calendar Year)
Time Three hours Maximum 100 marks
SECTION A — X 8 40 marks)
Answer any FIVE questions.
1. List out the advantages of quantitative approach to
management.
2. What is the relevance of the theory of probability to
managerial decision making?
3. Find the starting solution by using Vogel's approximation
method for the following
To
W X Y Z Available
A 10 20 10 8 10
B 12 10 13 9 20
From C 12 7 10 10 30
D 15 8 2 0 40
E 4 10 7 20 50
Required 60 60 20 10
Sub. Code
21
DE-3121
2
sp3
4. What are linear functions? Comment on the slope of
linear functions.
5. Explain about decision tree analysis.
6. Explain the differences between Transportation problem
and Assignment problem.
7. Discuss the Baye' s theorem.
8. A candidate is selected for interview for three post, for
the first post there are 3 candidates, for the second post
there are 4 candidates and for the third post there are
2 candidates. What is the chance of his getting atleast
one post?
SECTION B — × 15 60 marks)
Answer any FOUR questions.
9. Explain how the linear programming technique can be
helpful in decision-making in the areas of marketing and
finance.
10. A company has 4 machines of which to do 3 jobs. Each job
can be assigned to one and only one machine. The cost of
each job on each machine is given in the following table.
Machines
O P Q R
A 18 24 28 32
Job B 8 13 17 18
C 10 15 9 22
What are the job-assignments which will minimize the
cost?
DE-3121
3
sp3
11. Use the north west corner rule to find the initial basic
solution to the following transportation problem
6 4 1 5 14
8 9 2 7 16 Source
4 3 6 2 5
6 10 15 4
Destination
12. Explain different types of events in probability.
13. In a survey with a sample of 300 respondents, the
monthly income of the respondents follows normal
distribution with its mean and standard deviation as
Rs. 15,000 and Rs. 3,000 respectively. Assume the
significance level as 0.10 and answer the following.
What is the probability that the monthly income is
less than Rs. 12,000? Also, find the number of
respondents having income less than Rs. 12,000.
What is the probability that the monthly income is
more than Rs. 16,000? Also, find the number of
respondents having income more than Rs 16,000.
What is the probability that the monthly income is
in between Rs. 10,000 and Rs. 17,000? Also, find the
number of respondents having income in between
Rs. 10,000 and Rs. 17,000.
DE-3121
4
sp3
15. Presenting Transportation Problem Matrix.
Source D1 D2 D3 D4 Supply Qty
S1 3 1 7 4 300
S2 2 6 5 9 400
S3 8 3 3 2 500
Demand Qty 250 350 400 200 1200
Obtaining IBFS under VAM method.