The R&D; product design and development staff at Brandley Corporation has been w
ID: 378042 • Letter: T
Question
The R&D; product design and development staff at Brandley Corporation has been working on a new computer software product that has the potential to capture a large market share. Through external resources Brandley's management learned that a competitor is working to introduce a similar product. As a result, Brandley's management increased its pressure on the product development group to complete the new product in timely fashion. The group's leader turned to PERT/CPM as an aid to scheduling the activities remaining before the new product can be brought to the market. The project network diagram and estimated optimistic, most likely, and pessimistic activity times are shown below: 2. Start Finish The activity time estimates (in weeks) are Activity Optimistic 3.0 Most Probable Pessimistic 3.0 4.0 2.0 6.0 7.5 4.5 5.0 4.0 3.5 5.0 3.0 10.0 8.5 6.0 6.0 2.5 5.0 5.0 7.0 6.0 4.0 14.0 12.5 7.5 13.0 6.0 6.0 2.0 4.0Explanation / Answer
Thus, Economic Order Quantity ( EOQ )
= Square root ( 2 x Co x D / Ch )
= Square root ( 2 x 1000 x 832/800)
= 45.60 ( 46 rounded to nearest whole number )
RECOMMEND PER ORDRRS 16 SYSTEM AT TIME
Following table highlights expected duration for each activity.
Expected duration of each activity = ( Optimistic time + 4 x Most probable time + Pessimistic time ) / 6
ACTIVITY
Optimistic (O)
Most probable (M)
Pessimistic ( P)
Expected duration, e = ( O +4.M +P)/6
A
3
4
5
4
B
3
3.5
7
4
C
4
5
6
5
D
2
3
4
3
E
6
10
14
10
F
7.5
8.5
12.5
9
G
4.5
6
7.5
6
H
5
6
13
7
I
2
2.5
6
3
J
4
5
6
5
From the network diagram, the possible parallel paths and their corresponding durations as follows :
A-D-I = 4 + 3 + 3 = 10
B-C-D-I = 4 + 5 + 3 + 3 = 15
B-E-G-I= 4+ 10 + 6 + 3 = 23
B-E-H- J = 4 + 10 + 7 + 5 = 26
B-F-J = 4 + 9 + 5 = 18
Out of above, Start-B-E-H-J-EN has the longest duration and hence is the critical path
CRITICAL PATH IS START-B-E-H-J-END WITH DURATION OF 26
It is to be noted that all activities on critical path have zero slack. Slack is defined as Difference between Latest Start ( LS) and Early Start ( ES) or Difference between Late Finish ( LF) and Early Finsih ( EF)
ACTIVITY
ES
LS
EF
LF
SLACK
A
0
16
4
20
16
B
0
0
4
4
0
C
4
15
9
20
11
D
4
20
7
23
16
E
4
4
14
14
0
F
4
12
13
21
9
G
14
17
20
23
3
H
14
14
21
21
0
I
20
23
23
26
3
J
21
21
26
26
0
RECOMMEND PER ORDRRS 16 SYSTEM AT TIME
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