Rajasthan Technical University 2009 M.B.A m-103 Quantitative Techniques for Management - Question Paper
Rajasthan tech. University
M.B.A. one sem (Main/Back)
February 2009
M-102 Quantitative Techniques for Management
Roll No.: _ ToW 0** rn
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M.B.A. (Sem. I) (Main/Back) Examination, February - 2009
(M-103)
Quantitative Techniques for Management
Tine: 3 Hours} o}-3-.3 (Total Marks: 70
{Min. Passing Marks: 28
The question Paper is divided in two Sections.
Section A contains 6 questions out of which the candidate is required to attempt any 4 questions. Section B contains short case study/application based one question which is compulsory.
AH questions are carrying equal marks.
Use of foAomng supporting material is permitted during examination. (Mentioned in form No. 205)
Graph Pipw
2.
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(a) Describe in brief some of the important quantitative techniques used in modem business and industrial units.
7
(b) Compute the inverse of the matrix
1 3 0 -8 3 3 i I 4
and hence find the solution of the following system of equations :
x-2y + z = 0 3x + 3j + = 7 0x + Zy + 4x *7
[Contd_.
The matrix of technological coefficients of input output in coal and iron industries is as follows : *'
Consumer Sector
(a)
|
Production Sector |
| |||||||||
if the final demand of coal and iron are 2400 tonnes and 800 tonnes respectively, calculate the* total production of two industries.
7
The incident of occupational disease in an industry is such that the workmen have a 20% chance of suffering from it. What is the probability that out of six workmen, 4 or more will contract the disease ?
o>y
7
3 (a) A firm manufacturing two types of electrical items, A and B. can make a profit of Rs. 20 per unit of A and Rs. 30 per unit of B. Each unit of A requires 3 motors and 2 transformers and each unit of B requires 2 motors and 4 transformers. The total supply of these per month is restricted to 210 motors and 300 transformers. Type B is an expert model requiring a voltage stabilizer, which has a supply restricted to 65 units per month. Formulate above as a linear programing problem for maximum profit and solve it graphically.
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(b) Solve the L.P.P. by simplex method :
Max. 7, = ~xy - xt S. to 3x, +2*2 2 30 ~l*i + 3*J -30
\ *
<
*i
7
. 6 Explain the theory of dominance in the solution of rectangular
game.
0>) Solve the game whose pay off matrix is given by D
I U HI IV
|
I |
? 2 |
4~ |
0 |
|
II |
2 4 |
2 |
4 |
|
III |
4 2 |
1 |
0 |
|
IV |
0 4 |
0 |
S |
W Solve by simplex method :
Max. Z = 4x|+3xj
S. to 2x, + x, 530 *, + 2x2 S 24 and *j 20, Xj 20.
(b) Uae two phase rampiex method to solve the problem Min.
Subject to constraints 3x, -x2 - x, 3 x1-xa+-x$2 2 and x, 2 0, xt 2 0, x} 2 0.
game.
0>) Solve the game whose pay off matrix is given by D
I U HI IV
|
I |
? 2 |
4~ |
0 |
|
II |
2 4 |
2 |
4 |
|
III |
4 2 |
1 |
0 |
|
IV |
0 4 |
0 |
S |
W Solve by simplex method :
Max. Z = 4x|+3xj
S. to 2x, + x, 530 *, + 2x2 S 24 and *j 20, Xj 20.
(b) Uae two phase rampiex method to solve the problem Min.
Subject to constraints 3x, -x2 - x, 3 x1-xa+-x$2 2 and x, 2 0, xt 2 0, x} 2 0.
7
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Attachment: |
| Earning: Approval pending. |
