Subject Code: MB1316/R13 QUANTITATIVE ANALYSIS FOR BUSINESS DECISIONS ... · 2017-04-11 · Subject...
2
||''''|'|''|'|'''|'| Subject Code: MB1316/R13 M B A - I Semester Regular/Supplementary Examinations, Feb - 2015 QUANTITATIVE ANALYSIS FOR BUSINESS DECISIONS Time: 3 hours Max Marks: 60 Answer any FIVE of the following All questions carry equal marks. Q.No.8 is compulsory **** 1. A newspaper boy has the following probabilities of selling a magazine [12] NO.OF COPIES SOLD PROBABILITIES 10 0.10 11 0.15 12 0.20 13 0.25 14 0.30 Cost of a copy is 30 paisa and sale price is 50 paisa, he cannot return unsold copies how many copies should he order? 2. a). Determine mean and variance of a Poisson distribution [6+6] b). The number of days that students were missing from school due to sickness in one year was recorded NO.OF DAYS OFF SICK FREQUENCY 1 – 5 12 6 – 10 11 11 – 15 10 16 – 20 4 21 – 25 3 (i) Estimate the mean. (ii) Find the median class 2. Use simplex method to solve the following problem [12] Max z 4x 1 + 3x 2 + 6x 3 Subject to 2x 1 +3x 2 +2x 3 <=400 4x 1 +3x 3 <=470 2x 1 +5x 2 <=430 x 1 ,x 2 , x 3 >=0 1 of 2 www.jntuking.com www.jntuking.com www.jntuking.com
Transcript of Subject Code: MB1316/R13 QUANTITATIVE ANALYSIS FOR BUSINESS DECISIONS ... · 2017-04-11 · Subject...
||''''|'|''|'|'''|'|
Subject Code: MB1316/R13
M B A - I Semester Regular/Supplementary Examinations, Feb - 2015
QUANTITATIVE ANALYSIS FOR BUSINESS DECISIONS
Time: 3 hours Max Marks: 60
Answer any FIVE of the following
All questions carry equal marks. Q.No.8 is compulsory
****
1. A newspaper boy has the following probabilities of selling a magazine [12]
NO.OF COPIES SOLD PROBABILITIES
10 0.10
11 0.15
12 0.20
13 0.25
14 0.30
Cost of a copy is 30 paisa and sale price is 50 paisa, he cannot return unsold copies how
many copies should he order?
2. a). Determine mean and variance of a Poisson distribution [6+6]
b). The number of days that students were missing from school due to sickness in one year
was recorded
NO.OF DAYS OFF SICK FREQUENCY
1 – 5 12
6 – 10 11
11 – 15 10
16 – 20 4
21 – 25 3
(i) Estimate the mean.
(ii) Find the median class
2. Use simplex method to solve the following problem [12]
Max z 4x1 + 3x2 + 6x3
Subject to 2x1 +3x2+2x3<=400
4x1+3x3<=470
2x1+5x2<=430
x1,x2, x3>=0
1 of 2
www.jntuking.com
www.jntuking.com
www.jntuk
ing.co
m
||''''|'|''|'|'''|'|
Subject Code: MB1316/R13
4. Find the optimality assignment for the assignment problem with the following cost matrix
[12]
I II III IV
A 5 3 1 8
B 7 9 2 6
C 6 4 5 7
D 5 7 7 6
5. a) By using the following data find out the two lines of regressions and from them [6+6]
Compute the karlpearson’s coefficient of correlation
∑x=250; ∑y=300; ∑xy= 7900 ; ∑x2=6500 ; ∑y
2=10000 ; n=10
b). Define the following:
i). Graphical method o f simplex method
ii). Saddle point
iii) Big M method
iv). Exponential probability distribution.
6. a). What is probability introduction to decision theory? Explain the steps in decision [6+6]
Making.
b).Explain the Graphical representation of decision making process and decision making
with an active opponent.
7. Explain the single and group replacements models with examples. [12]
8. The activities along with their dependency relationships are given below .
Draw the arrow network diagram. [12]
ACTIVITY A B C D E F G H I J
IMMEDIATE PREDECESSOR -- -- -- A A,B B,C C E,F G,H H
****
2 of 2
www.jntuking.com
www.jntuking.com
www.jntuk
ing.co
m
