DISTANCE EDUCATION
M.B.A.(HRM) DEGREE EXAMINATION, DECEMBER 2017.
First Semester
QUANTITATIVE METHODS
(Upto 2012-13 Academic Year and 2013 Calendar Year)
Time 3 hours Maximum 100 marks
SECTION A — X 8 40 marks)
Answer any FIVE questions.
1. Three firms manufactures the same product. The
selling price is Rs. 10 per unit of the product-equal for all
the firms. The fixed cost for firms x,y,and z respectively
are Rs. 1,00,000, Rs. 2,00,000 and Rs. 3,24,0000. While
the variable costs per unit are Rs.8, Rs. 5 and Rs. 4
respectively. Determine the break even points for all the
firms. How much profits are earned by the firms if each
of them sells 70,000 units?
3. What are the essential characteristics of a linear
programming model?
Sub. Code
14
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4. Obtain an IBFS using VAM for the following T.P.
I II III IV Supply
A 4 5 16 8 9
B 3 2 9 4 3
C 8 10 20 11 20
Requirement 8 6 4 2
5. A problem in mathematics is given to five students
and E. Their individual chances of solving it are
16
1
8

3

5
1 and
3
1 . What is the probability that the
problem will be solved?
6. A pair of dice is rolled once. What is the probability that
the sum is equal to each of the integer from 2 to 12?
7.
Demand per week in
(Hundred Kilogram)
2 7 13 17 23 28
Frequency 4 13 10 24 7 5
Using the following sequence of random numbers,
generate the demand for the next 10 weeks. Also find the
average demand per week.
30,50,94, 15,20,70,30,60,35,80,94,55,68,70,60.
8. Explain the steps involved in solving IPP using simplex
method.
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SECTION B — X 15 60 marks)
Answer any FOUR questions.
11. Eight white and two black balls are randomly laid out in
a row. What is the probability that the two balls are side
by side? What is the probability that they occupy the end
positions?
12. Explain joint, conditional and marginal probabilities with
example.
13. In the child welfare section of a hospital, two specialist
attends to the out door patients daily from 2 Pm to 5 Pm.
There is a general complaint from the public that they
have to wait too long. The duty doctors also complaint
that due to excess of patients they have to sit beyond 5
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P.M on many of the days. From the data collected over
the past months, the following distributions of patient
arrivals and the check up times are determined.
No.of patients per
day
Frequency

Check up time per
patient
(In monts)
Frequency

20 40 8 20
25 30 12 40
30 20 15 35
40 10 20 5
What should be the number of doctors on duty so, their
average busy time does not exceed 3 hours
14. With suitable illustrative example, explain the maximin,
minimax and the regret criteria in decision making.
15. Explain the relation ship between costs and level of
activity with examples.
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