# DAM paper

```NEPAL WESTERN ACADEMY
First Terminal Examination-2021 A.D.
BBA-BI, 4th semester
STT 201: Data Analysis and Modeling
FM: 50
PM: 23
Time: 1hr. 30 min.
Attempt all the questions:
Group A: Very short answer questions (5x2=10)
1. The price index number of a certain commodity for the year 2020 with respect to year 2019 is 145. What
is the meaning of 145?
2. Find the active and inactive constraints of the following LP:
Max Z = 9x + 7y
s.t.c
2x+y ≤ 40
x+3y ≤ 30
x ≥ 0, y ≥ 0
Where OS = (18, 4), OV = 190
3. A manufacturing company has actual sales for the last month as Rs. 18,000 and forecasted sales for the
same month was Rs. 20,000. Using α = 0.30, what will be the forecasted sales for this month?
4. Draw a network diagram for the following project.
Activity
A
B
C
D
E
F
Predecessor
None
A
A
B
C
B,E
5. What are the steps involved in MODI method?
Group B: Descriptive answer questions (4x10=40)
6. The Megabuck Hospital Corp. is to build a state-subsidized nursing home catering to homeless patients
as well as high-income patients. State regulations require that every subsidized nursing home must
house a minimum of 1000 homeless patients and no more than 750 high-income patients in order to
qualify for state subsidies. The overall capacity of the hospital is to be 2100 patients. The board of
directors, under pressure from a neighborhood group, insists that the number of homeless patients should
not exceed twice the number of high-income patients. Due to the state subsidy, the hospital will make an
average profit of \$10,000 per month for every homeless patient it houses, whereas the profit per high
income patient is estimated at \$8000 per month. How many of each type of patient should it house in
order to maximize profit?
7. Find the optimal transportation schedule to minimize the cost from the following information.
Plant
Store
Capacities
S1
S2
S3
S4
S5
P1
7
10
5
4
12
45
P2
3
2
0
9
1
70
P3
8
13
11
6
14
125
Order Size 10
20
30
80
100
240
8. The time estimates (in weeks) for the following activities are given as below.
Activity 1-2
1-3
1-4
2-5
3-5
4-6
5-6
To
1
1
2
1
2
2
3
Tm
3
3
2
2
5
5
6
Tp
9
7
10
3
12
10
12
(a) Draw a network diagram and calculate the slack time for each activity.
(b) Determine the critical path and the project variance.
(c) What is the probability that the project will be completed within the scheduled time if the
scheduled time is 20 weeks?
9. Suppose a television sales by a small appliances chain for the year 2001-2005 were as follows:
Year 2001
2002
2003
2004
2005
Sales 230
250
280
300
320
a) Develop a linear equation that best describes these data. Also estimate the number of TV sales for
2006.
b) Interpret the slope of the trend line. What would be the increment of TV sales per month?
c) Calculate the percent of trend and relative cyclical residual. In which year does the largest fluctuation
from trend occur? Is it same for both the methods?
d) Compute the MSE and MAD.
-Good Luck-
```