GUG/W/18/10679 1 P.T.O
Master of Business Administration (CBCS and Old Pattern) First Semester Old+CBCS
PAPER-MBAC-16 PCB1F06 Quantitative Techniques
P. Pages 2 GUG/W/18/10679
Time Three Hours Max. Marks 70

Notes 1. Attempt any five questions.
2. All questions carry equal marks.
1. Calculate the Mean, Median and Standard deviation its coefficient for the following
distribution.
Marks Less than 10 20 30 40 40-50 50-60 60-70
No. of students 2 6 11 15 18 20 21
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2. From the following data find out if there is any relationship between density of population
and death rate.
District Area in Sq.
KMs.
Population No. of
Death
1 1,000 7,00,000 14,000
2 1,100 6,60,000 10,560
3 800 2,40,000 4,320
4 600 1,80,000 3,060
5 900 2,70,000 5,130
6 500 2,00,000 3,000
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3. Obtain the straight line trend equation by the method of best fit line.
Year 2009 2011 2012 2013 2014 2018
Production 40 45 60 55 58 65
Forecast the production for the year 2019 also calculate short term fluctuations.
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4. Construct the decision tree for the following problem and tabular the EMV EOL and
state which one can be chosen as the best act.
Acts
State of Nature
E1 E2 E3
A1 -350 2500 5500
A2 1200 -3500 6500
A3 -1000 2000 7000
Probability 0.5 0.1 0.4
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*2847*
GUG/W/18/10679 2
5. A manufacturing company has four zone C D and four sales engineers R
and S respectively for assignment. It is estimated that a particular engineer operating in a
particular zone will bring the following sales
Zone A B C D
Sales 4,20,000 3,36,000 2,94,000 4,62,000
The engineers have different sales ability working under the same condition, their yearly
sales are proportional to 14, 11, and 8 respectively. Find the optimum assignment and
the maximum sales.
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6. Find the initial solution of the transportation problem by using VAM Test the
optimality by MODI.
1 2 3 4 Supply
A 10 8 7 12 500
B 12 13 6 10 500
C 8 10 12 14 900
Demand 700 550 450 300
To
From
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7. Solve the following LPP by using simplex method.
1 2 3
1 2 3
1 2 3
1 2 3
Max Z 500x 600x 1200x
subject to,
2x 4x 6x 160
3x 2x 4x 120
x x x 0




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8. Explain with examples how linear programming is useful in all such situation where the
availability of resources is constrained. What are its limitation.
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9. Explain briefly, how the seasonal element in a time series data is isolated and eliminated.
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10. Write a note on any two.
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Concept of covariance.
Markov chain.
Comparison of Mean, Median Mode.
Decision making under Risk.