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September 28, 2022
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*** Problem Set Key – Do Not Post or Distribute ***
Chapter 9: Forecasting
Introduction to Operatio
ns & Supply Chain Manag
ement (Bozarth & Handfield, 3rd Ed.)
DIRECTIONS
To generate the homewo
rk key
, input the same 4-di
git number used to
create the original hom
ework assig
nment. The correct answers will
autom
atically be generated.
Name:
***
KEY **
*
20
ChesterBoz makes high-end boogie boa
rds, with most
sales coming f
rom the U.S.
The table and graph be
low show the demand for the last two yea
rs.
Period Demand
June, 2014
1
3880
Jan. 2015
8
3040
September
4
3430
October
5
3030
Jan. 2016
20 3360
May
12 4720
June
13 4620
July
14 4140
August
15 4150
September
16 3810
4000
6000
Period
1
Chapter 9: Foreca
sting
*** KEY ***
Problem 1
Develop
2
-period & 3-period moving average models
f
orecast fo
r
Periods 19 through 24
.
Calculate MFE & MAD
for
Periods 19
through 24
for the resulting forec
ast model.
W
hich model has
the least bias? W
h
ich model has relatively smaller errors? Show all your work.
2-period
forecast
Forecast
error
A
bsolute
deviation
September
16 3810
Octoer
17 3230
3-period
forecast
Forecast
error
A
bsolute
deviation
September
16 3810
In either case, neither model
Octoer
17 3230
does a good
job picking up
Problem 2
Develop an
SESM foreca
sting model with
a
=
0.35
for
Periods 19 through 2
4
. Calculate MAD
and MFE fo
r
Periods 19 through 24
(n =6) for the resu
lting forecast model.
SESM
forecas
t
Forecast
error
A
bsolute
deviation
November
18 2960
2900
December
19
3200
2921.00
279.00 279.00
2
Chapter 9: Foreca
sting
3
Problem 3
Use regression analysis to d
evelop a f
orecast model using the tw
o years of data. Develop seasonal indices for
the months of
June and January only
. Use your m
odel to forecast demand for June, 2016 & January, 2017.
X
Y
Unadj.
Dem
and /
Period
Demand X*Y
X^2
regress.
Forecast
June, 2004
1
3880 3880
1
3249.60 1.19
as average of demand/forecast
Jan. 2005
8
3040
24320
64 3576.26
0.85
A
djusted forecast for
April
11
4580
50380
121 3716.25
1.23
September
16
3810
60960
256 3949.58
0.96
A
djusted forecast for
Jan. 2006
20
3360
67200
400 4136.24
0.81
February
21
3590
75390
441 4182.90
0.86
4