Guru Gobind Singh Indraprastha Vishwavidyalaya 2012 B.B.A Qtor - Question Paper
Maharaja Agrasen Institute of Management Studies Second Internal Examination BBA, B&I -IInd Semester Subject: QT&OR, Paper code: 106
Duration: 2Hrs Marks: 40
Note: - Attempt all Questions.
Q-l (a) The following are some particulars of the distribution of weights of boys and girls in a class.
Boys Girls
Number 100 50
Mean weight 60 kg. 45 kg.
Variance . . 9 4
Find the standard deviatn and mean of the combined data.
b) From the data given below find
(i) the two regression equations,
(ii) the coefficient of correlation between marks in Economics and Statistics
(iii) the most likely marks in Statistics when marks in Economics are 56.
(iv) the most likely marks in Economics when marks in Statistics are 60.
Marks in
Economics 25 28 35 32 31 36 29 38 34 32
Marks in Statistics
43 46 49 41 36 32 31 OR
30
33 39
Q-l a) Compute the Karl Pearsonsons coefficient of correlation for the age of husbands and wives. And comment upon ihe value of correlation.
Age of
Husband: 23 27 28 29 30 31 33 35 36 39 Age of Wife: 18 22 23 24 25 26 28 29 30 32
b) Two cricketers scored the following runs in the several innings. Find who better run getter is and who is more consistent player? Compare using coefficient of variation.
42
28
A
B
95
Solve the following LPP using Simplex method. Maximize Z = 5X-2Y+3Z Subject to:
2X+2Y-Z > 2; 3X-4Y < 3; Y+3Z < 5 X, Y, Z > 0
OR
Solve the LPP by Graphical Method Minimize Z = 8X+4Y Subject to:
3X+Y > 27; X+Y =21; X+2Y<40 X, Y > 0 "
70 31 0 59 108 82 14
17 83 59 72 76 64 45 40 32
A manufacturer has bids for 5 subcontracts for 5 firms. One firm can take only 'one job. The table shows the bids and the output estimates (in 100000) for doing the jobs. Note that no two jobs can be performed internally. Solve the problem using Hungarian method to maximizing total output. <
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OR |
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//In the machine shop, 8 different products are being manufactured each requiring time on | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
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Q4 A company has four terminals with 10,.4, 6, 5 trailers available and 3,10, 6. 6 trailers were loaded from four warehouses. Find the optimal solution of the following
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W1 |
W2 |
W3 |
W4 | |
|
FI |
20 |
36 |
10 |
28 |
|
F2 |
40 |
20 |
45 |
,20 |
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F3 |
75 |
k 35 |
45 |
50 |
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F4 |
30 |
35 |
40 |
25 |
Construct Dual and Solve the Primal and Dual problem graphically
Maximize z 6x1 + Sx2 Subject tm Sxj + 2acs <20
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Attachment: |
| Earning: Approval pending. |
