3.21 Rich Cole Control Devices, Inc., produces custom- built relay devices for auto makers. The most recent project undertaken by Cole requires 14 different activities. Cole's man- would like to determine the total project completion time (in days) and those activities that lie along the critical path. The appropriate data are shown in the following table. a) What is the probability of being done in 53 days? b) What date results in a 99% probability of completion? agers

Practical Management Science
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Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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••• 3.21
Rich Cole Control Devices, Inc., produces custom-
built relay devices for auto makers. The most recent project
undertaken by Cole requires 14 different activities. Cole's man-
agers would like to determine the total project completion time
(in days) and those activities that
appropriate data are shown in the following table.
along the critical path. The
a) What is the probability of being done in 53 days?
b) What date results in a 99% probability of completion?
MOST
OPTIMISTIC LIKELY PESSIMISTIC
TIME
IMMEDIATE
ACTIVITY PREDECESSOR(S)
TIME
TIME
A
4
7
C
A
6.
6.
A
8
11
E
В, С
1
9.
18
F
3
G
D
7
8
H
Е, F
4
4
6.
G, H
1
8
7
K
|
8
11
J
4
6.
M
K
1
3
L, M
6.
8
10
PX
3.
1.
LO
1.
B.
Transcribed Image Text:••• 3.21 Rich Cole Control Devices, Inc., produces custom- built relay devices for auto makers. The most recent project undertaken by Cole requires 14 different activities. Cole's man- agers would like to determine the total project completion time (in days) and those activities that appropriate data are shown in the following table. along the critical path. The a) What is the probability of being done in 53 days? b) What date results in a 99% probability of completion? MOST OPTIMISTIC LIKELY PESSIMISTIC TIME IMMEDIATE ACTIVITY PREDECESSOR(S) TIME TIME A 4 7 C A 6. 6. A 8 11 E В, С 1 9. 18 F 3 G D 7 8 H Е, F 4 4 6. G, H 1 8 7 K | 8 11 J 4 6. M K 1 3 L, M 6. 8 10 PX 3. 1. LO 1. B.
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