DISTANCE EDUCATION
M.B.A. DEGREE EXAMINATION, DECEMBER 2017.
Second Semester
QUANTITATIVE METHODS
(Upto 2012-13 Academic Year 2013 Calendar Year)
Time Three hours Maximum 100 marks
PART A — x 8 40 marks)
Answer any FIVE questions.
1. Explain the various concepts Quantitative method.
2. Explain the usage of functional relationship to
understand elasticity of demand.
3. Explain the terminology and requirements of Linear
programming.
4. Discuss briefly the applications of Linear programming in
any functional area of management.
5. Explain in brief with examples
North-West corner rule
Vogel's approximation method.
6. Explain the various features of Binomial Distribution.
7. Briefly explain the Monte-Carlo simulation with
examples.
8. What is the Chief characteristic of Bayesion decision
making?
Sub. Code
21
DE-3100
WSS
2
PART B — x 15 60 marks)
Answer any FOUR questions.
11. Determine an initial basic feasible solution to the
following transportation problem using North-West
corner rule
D1 D2 D3 D4 Supply
O1 6 4 1 5 14
O2 8 9 2 7 16
O3 4 3 6 2 5
Required 6 10 15 4 35
12. A bag contains 15 tickets marked with numbers 1 to 15.
One ticket is drawn at random, find the probability that
the number on it is greater than 10
the number on it is even
the number on it is a multiple if 2 or 5.
DE-3100
WSS
3
13. A sample of 100 arrivals of a customer at a retail sales
depot in according to the following distribution
Time between
arrival (minutes) 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0
Frequency 2 6 10 25 20 14 10 7 4 2
A study of the time required to service customer by
adding up the bills, receiving payments and placing
packages, yields the following distribution
Time between
arrival (minutes) 0.5 1.0 1.5 2.0 2.5 3.0
Frequency 12 21 36 19 7 5
Estimate the average percentage of customer waiting
time and average percentage of idle time of the server by
simulation for the next 10 arrivals.
14. A decision problem has been expressed in the following
pay off table (Rs.
Strategy
State of nature
I II III
A 1,880 1,840 1,800
B 1,620 1,600 1,640
C -1,400 1,420 1,720
What is the maximax and maximin payoff action?
15. A doctor gives appointment to his patients in 30 minutes
gap. Service time distribution is given as follows.
Simulate 8 patients and find average waiting time of a
patient.
Random (in nos.) 12, 18, 30, 40, 80, 17, 56
Service time (in minutes) 20 30 40
No.of patients 30 50 20
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