DISTANCE EDUCATION
M.B.A. DEGREE EXAMINATION, MAY 2017.
Second Semester
Tech. Mgt.
QUANTITATIVE METHODS
(Upto 2012 2013 Academic Year and 2013 Calendar Year)
Time Three hours Maximum 100 marks
SECTION A — 8 40 marks)
Answer any FIVE questions.
1. With suitable example, explain linear and non-linear
functions.
2. With suitable examples explain developing a
mathematical model.
3. Define the terms: objective function, decision variables,
non-negative variables and constraints of a mathematical
model.
4. Mention various steps in solving a balanced
transportation problem through Vogel's Approximation
Method.
5. What is binomial distribution?
6. What are the components of queue system?
Sub. Code
21
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7. Mention various steps in drawing a network diagram for
a project.
8. Briefly mention various decision criterions used with
suitable examples.
SECTION B — × 15 60 marks)
Answer any FOUR questions.
9. Apply graphical method to find non-negative values of
x1 and x2 which
Minimize Z 10x1 25x2
Subject to
x1 x2 50
x1 20 and
x2 40 .
10. For the following Linear programming problem, solve it
by SIMPLEX METHOD and interpret your solution
Max Z 600x1 400x2
Subject to constraints
10x1 4x2 360 ... (Shop floor X Constraint)
6x1 6x2 270 ... (Shop floor Y Constraint)
Where, x1 be number of 3-wheel trolleys to be product;
x2 be 4-wheel trolleys to be produced .
And the non-negative constraints x1 ,x2 0 .
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11. Find an initial allocation through Vogel's Approximation
Method.
Restaurants
Kitchen
BEACH
ROAD
EGMORE KOYAMBEDU PARRY' S
CORNER
Availability
Central
Kitchen 1
1 3 2 5 550
Central
Kitchen 2
2 5 4 4 282
Central
Kitchen 3
2 4 6 3 168
Requirements 218 347 280 155
12. The following contingency table shows the number of
customers who bought various brands of inkjet printers
and their gender.
Printer Brand Men Women
HP 30 21
Canon 18 6
Epson 9 6
Brother 3 3
Other 24 30
Find out the probability that a randomly selected
customer from this sample bought a Canon printer
or a Brother printer
Find out the probability that a randomly selected
customer from this sample bought an HP printer or
is a female.
13. The following payoff table shows profits associated with a
set of 2 alternatives fewer than 3 possible events..
Action
Event A B
1 5000 6000
2 3000 3500
3 1500 -1000
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Suppose that the probability of Event 1 is 0.3, Event 2 is
0.4, and Event 3 is 0.3.
What is the EMV for Action
What is the EMV for Action
What is the optimal action using EMV?
14. At a toll plaza, vehicles arrive at a mean rate of 50 per
hour. A vehicle on an average, takes1 minute in making
the payment. The arrival rate and service time rate are
assumed to follow Poisson and exponential distributions
respectively and there is only one booth for providing the
toll receipt
Find out the mean time a vehicle will have to wait
in the queue for getting receipt?
What is the expected length of the system?
Expected length of queue?
Expected time a vehicle spends in system?
15. An investor is considering four different opportunities,
or D. The payoff for each opportunity will depend
on the economic conditions, represented in the payoff
table below.
Economic Condition
Investment Poor Average Good Excellent
A 50 75 20 30
B 80 15 40 50
C -100 300 -50 10
D 25 25 25 25
What decision would be made under maximax?
What decision would be made under maximin?
What decision would be made under minimax
regret?