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Roll No._________________
MBA Semester I
MBA 113- QUANTITTATIVE METHODS
MODEL PAPER
Time: 3 Hrs
MM: 80
Note:
1. All Questions are compulsory in Section A. Section A carries 20 marks.
2. Attempt FIVE questions in all from Section B, selecting ONE question either A of
B from each question. Answer of each question shall be limited upto 250 words.
Each question carries 6 marks.
3. Attempt 3 questions in all from section C. Answer of each question shall be
limited upto 500 words. Each question carries 10 marks.
SECTION A
“The scope of application of operation research extends to other economic
1.
activities like industry and trade” Explain.
SECTION B
2. A Explain the characteristics of Operation Research?
OR
B Compute the inverse of matrix and find solution of following system of
Equations?
x-2y+z=0
3x+3y+3=7
0x+3y+4z=7
3. A Calculate Coefficient of Rank Correlation from following data (Allot the ranks
rom highest to lowest)
X series:48,33,40,09,16,16,65,24,16,57
Y series: 13,13,24,06,16,01,20,09,06,09
OR
B Obtain the initial basic feasible solution of transportation problem by using:1)North-West Corner rule
2)Least-Cost Method
PLANT
DI
D2
D3
D4
NO OF UNITS
AVAILABLE
P1
2
3
11
7
6
P2
1
0
6
1
1
P3
5
8
15
09
10
DEMAND 07
05
03
02
PTO
4. A Solve the following with the help of two phase method
Max Z = x1+x2
Sub to 2x1+x2≥4
x1+7x2≥7
And x1,x2≥0
B
OR
Two products X1 and X2 are processed on three machines A,B and C. the
processing time , machine availability and profit per unit is as follows:Machine
Processing
Processing
Availability(in
Time X1
Time X2
Hours)
A
2
3
1500
B
3
2
1500
C
1
1
1500
Profit/unit
Rs. 10
Rs. 12
Formulate appropriate linear programming model for this problem and solve
with the help of Simplex Method.
5. A . A newspaper boy has the following probabilities of selling a magazine
No. of copies sold 10 11 12 13 14
Probability
.10 .15 .20 .25 .30
Cost of copy is Rs. 3 and selling price is Rs. 5 . He cannot return
the unsold magazines. Determine the optimal act and EVPI.
B
OR
Explain the decision rules of decision making under uncertainity?
6. A A and B play a game in which each one has three coins a 5 paisa, a 10 paisa
and a 20 paisa coin. Each player selects the coinwithout the knowledge of
others choice. If the some of the coins is an odd amount, A wins B’s coin and if
sum is even B wins A’s coin. Find the best strategy for each player and value
of game.
OR
B i) Differentiate between Game theory and Decision theory
ii) Write the characteristics of game.
7.
SECTION C
Discuss the significance and scope of Operation Research in modern
Management?
PTO
8.
9.
Solve the following assignment problem of minimizing total time for doing all
jobs.
Operators
JOB J1
JOB J2
JOB J3
JOB J4
JOB J5
O1
16
12
15
12
16
O2
12
15
18
17
17
O3
17
18
16
19
18
O4
16
12
13
14
15
O5
19
13
18
19
17
O6
14
17
14
16
18
Solve the following with the help of two phase method:Max Z = x1+x2
Sub to 2x1+x2≥4
x1+7x2≥7
And x1,x2≥0
10.
A decision problem has been expressed in the following payoff table:Statesof Nature
Alternatives
A1
A2
A3
E1
2000
2800
1600
E2
2500
1200
1500
E3
1500
1800
1100
What will be the manager’s decision if he uses ,
Maximax criteria
Maximin criteria
Minimax regret criteria
Hurwicz Criteria if α = 0.7
11.
Calculate the value of Game with the help of Oddment’s Method (2×2 game)
Player
B1
B2
A1
2
0
A2
-8
6
PTO