Acharya Nagarjuna University (ANU) 2006 B.B.M II - Business Mathematics - Question Paper
B.B.M. (Previous) DEGREE EXAMINATION, MAY 2006
Part II - Business Management
Paper II - Business Mathematics
{DBBM 11}
3
B.B.M.(Previous) DEGREE EXAMINATION, MAY 2006 Part II - Business Management PAPER - II - BUSINESS MATHEMATICS
Time: Three hours Maximum: 100 marks
Answer any FIVE questions All questions carry equal marks.
1. (a) What do you mean by a mathematical model of a real situation? Explain the principles of
modelling. Describe the role of computers in building models.
(b)A man walks a distance 48 kms in a given time. If he walks 2 kms an hour faster he will perform his journey 4 hours before. Find the normal rate of walking.
2. (a) Out of 6 gentlemen and 6 ladies a committee of 5 is to be formed. In how many ways can this
be done, when this committee consists of (i) exactly 2 ladies and (ii) atleast 2 ladies.
f i
(b) If the coefficient of x is the expansion of | x + ~ \ is 270, find the value of k-
x ,
3. (a) If Ar B are subsets of X, show that
(i) IA.3) =AkjB
(ii) A-U-B) = Ar>
(iii) JJn(3-c) = Ur,)-(JnC)
, r3 -6x-9
fb) Evaluate " r-.
' 1-81
4. (a) If are non-cop la nar vectors, prove that the points a - 2b + 3>c-2a + 35 -c and 4-7 + 7p are collinear.
(b) If a, , c are no n-co planar vectors, show that the vectors a-2b + 3c,-2a + 35 -c-b + 2c are copi a nar.
2 1 2 1 0 1 1 2 1
|
'1 -1 O' |
1 0 | |||
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5. (a) If A = |
2 1 3 |
and B |
2 -3 1 |
verify that [AB')=3A |
|
4 1 8 |
1 1 -1 |
{b) Compute the adjoint and inverse of the matrix
(b) Solve the system of equations 3i + y + Ai = 2, x-y + 2r = 1 and 2y+z = A using the matrix inversion method.
7. (a) Differentiate the following functions w.r.t. x.
r(j + 4) x+l
x--2
(ii)
x-i
(b)The revenue function for a product is R =600q-Q.5q and the cost function is
C = 1500-t- 140(j -Acf + 0.5. Determine the profit function and the value of q for which profits are maximum.
8. Integrate and evaluate the following:
jifr (b) | sin i&iu 2xdx
(c) jVlogicfr
9. (a) Define operations research. Give its main characteristics and its limitations, as applicable to
business and industry.
(b) Solve the following L.P.P. using simplex method:
Maximize z = 3jt + 2j3 subject to constraints: x} + x2 < 47
xi~x2<2 and x}, x2 > 0.
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Attachment: |
| Earning: Approval pending. |
