Veer Narmad South Gujarat University 2011-1st Year B.Com Mathemetics & Statics, ,- , Veer Narmad South University - Question Paper
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University: Veer Narmad South Gujarat University
Program Name :First Year B.Com
Course Name: SB:0333 - Mathematics & Statics, 1st Year B.Com Examination, March-2011, Veer Narmad South Gujarat University.
examination Month and Year: March-2011.
Duration : three hours
Maximum marks:- 70
Attachment :- PDF file containing SB:0333 - Mathematics & Statics, March-2011.
SB-0333
First Year B. Com. (Honours) Examination March / April - 2011 Mathematics & Statistics
Time : 3 Hours]
[Total Marks : 70
Seat No.:
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Fillup strictly the details of signs on your answer book.
Name of the Examination :
F. Y. B. Com. (Honours)
Name of the Subject:
Mathematics & Statistics
-Section No. (1,2,.....): Nil
-Subject Code No.:
(2) Answer all the questions.
(3) Figures to the right indicate full marks of the questions.
(4) Graph papers and statistical tables will be supplied on request.
(2)
x -9
The demand function of a commodity is X2 =75P. then obtain the value of the demand to get the maximum Revenue.
Evaluate :
(1) Jjc(jc-l)(l + i)t&
1 + 2 + 3 H-----vn
.. x2-5x + 6 lim
x>3
(a) Evaluate (1) lim
i
J (2x-3 )2dx
6
(n + l)
(b)
(a)
6
(2)
Maitree deposited Rs. 1,00,000 in a nationalized 4
(b)
bank for three years. If the rate of interest is 7% p.a. Calculate the interest that bank has to pay to Maitree after three years if interest is compound annually. Also calculate the amount at the end of third year.
(a) Explain the following terms :
(1) Future value (2) Present value.
(b) An investor intends purchasing a three year
Rs. 1000 par value bond having nominal interest rate of 10%. At what price has the bond may be purchased now if it matures a rate of return of 14% ?
(c) How much amount is required to be invested every year so as to accumulate Rs 3,00,000 at the end of 10 years if interest is compounded annually at 10% ?
(a) Explain the following terms :
4
6
(1) objective function (2) optimum solution.
(b) Solve the following linear programming problem by simplex method :
Maximize Z - 2x}+5x,, subject to xx+3x2<3, 3x1+2x2<6, xx>0, x2>0.
(a) Solve the given LPP by graphical method : Minimize Z = 30x+50j' subject to 3x+,y>15, x+2,y>12, 3x+2,y>24
x>0, y>0.
(b) Obtain IBFs by Vogels approximation method. Also obtain total transportation cost :
|
Origin |
A |
A |
A |
Supply |
|
o, |
3 |
2 |
5 |
20 |
|
2 |
3 |
4 |
30 | |
|
2 |
2 |
3 |
10 | |
|
Demand |
10 |
10 |
20 |
6 (a) Explain the following terms with illustration :
(1) Raw matrix (2) Unit matrix.
(3) Symmetric (4) Non singular matrix.
(b) Solve the following questions by using inverse of a matrix :
6
x+2y+3z = 6, 2x+4y+z = 7, 3x+2y+9z = 14.
A =
(a) If
and B = 3A
7 3-5
0 4 2
1 5 4
and C = B+2A-5I them find D = 2A+B-C.
(b) Obtain IBFs and TTC by max(min-max) method
|
Origin |
A |
A |
A |
A |
Supply |
|
o, |
15 |
17 |
21 |
18 |
250 |
|
20 |
22 |
18 |
14 |
300 | |
|
25 |
28 |
17 |
14 |
400 | |
|
Demand |
200 |
225 |
275 |
250 |
950 |
SB-0333] 3 [200]
|
Attachment: |
| Earning: Approval pending. |
