M.Com. DEGREE EXAMINATION, APRIL 2016
QUANTITATIVE TECHNIQUES
(2012 onwards)
Time 3 Hours Maximum 75 Marks
Part A 3 15)
Answer all questions.
All questions carry equal marks.
1. What do you mean by degeneracy in transportation problem?
2. State the relation between Binomial, Poisson and Normal
Distributions.
3. Discuss the advantages and disadvantages of simulation.
4. Discuss the concept of decision theory, and explain the
steps in decision making process.
5. State the difference between correlation and regression
analysis.
Part B 10 50)
Answer all questions.
All questions carry equal marks.
6. Solve the following LPP using graphical method
Maximize Z 5x1 4x2
Subject to 1.5x1 2.5x2 80 2x1 70
x1 x2 0.
Or
Discuss the relationship between the primal and
dual problems, and compare the optimal solutions
for the same with illustration.
Sub. Code
611702
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7. A firm owns facilities at six places. It has
manufacturing plants at places and C with
daily production of 50, 40, and 60 units respectively.
AT point and F it has three warehouses with
daily demands of 20, 95 and 35 units respectively.
Per unit shipping costs are given in the following
table. If the firm wants to minimize its total
transportation cost, how should it route its
products? Warehouse
Warehouse
D E F
A 6 4 1
B 3 8 7
Plant
C 4 4 2
Or
Discuss the concept of Binomial distribution and
Poisson distribution and explain their properties.
8. A box contains 3 red and 7 white balls. One ball is
drawn at random and in its place a ball of the other
color is put in the box. Now one ball is drawn at
random from the box. Find the probability that it is
red.
Or
The rate of arrival of customers at a public
telephone follows Poisson distribution, with an
average time of ten minutes between one customer
and the next. The duration of a phone call is
assumed to follow exponential distribution with a
mean time of three minutes.
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What is the probability that a person arriving
at the booth will have to wait?
What is the average length of the queue?
The BSNL will install another booth when it is
convinced that the customers would have to
wait for at least three minutes for their turn to
make a call. How much should be the flow of
customers in order to justify a second booth?
9. Discuss the principles which may be employed for
taking decisions under uncertainty conditions.
Or
Informatics Corporation summarizes international
information reports (on a weekly basis), prints
sophisticated data and forecasts, which are
purchased weekly by mutual funds, banks and
insurance companies. This information is very
expensive and the demand for the reports is limited
to a maximum of 30 units. The possible demands
are 10, 20 and 30 reports per week. The profit per
report sold is Rs. 30 and the loss per report unsold
is Rs. 20. No production of extra reports during a
week is possible. Further, there is a penalty cost of
Rs. 250 for not meeting the demand. Unsold reports
cannot be carried on to the next week. Using the
pay-off table, find out the number of reports to be
produced if
Maximin or pessimistic strategy is adopted
Maximax or optimistic strategy is used
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10. What are the significances of studying correlations?
Explain different types of correlation with examples
Or
The following table shows the ages and blood
pressure of 8 persons
X 52 63 45 36 72 65 47 25
Y 62 53 51 25 79 43 60 33
Obtain the regression equation of V on X and find
the expected blood pressure of a person who is 49
years old.
Part C 10 10)
Compulsory.
11. To stimulate interest and provide an atmosphere for
intellectual discussion the finance faculty in a
management school decides to hold special seminars on
four contemporary topics — leasing, portfolio
management private mutual funds, swaps and options.
Such seminars should be held once per week in the
afternoons, However, scheduling these seminars (one for
each topic, and not more than one seminar per afternoon)
has to be done carefully so that the number of students
unable to attend is kept to a minimum. A careful study
indicates that the number of students who cannot attend
a particular seminar on a specific day is as follows
Leasing Portfolio Private mutual Swaps and
management funds options
Monday 50 40 60 20
Tuesday 40 30 40 30
Wednesday 60 20 30 20
Thursday 30 30 20 30
Friday 10 20 10 30
Find the optimal schedule of the seminars. Also who will
be missing at least one seminar?
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