Question 2 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 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? IMMEDIATE ACTIVITY PREDECESSOR(S) A B C D E F G H I J K L M N - A A B, C D D E, F G, H I J K L, M MOST OPTIMISTIC LIKELY TIME TIME 4 6 1 2 6 6 5 8 1 9 2 1 4 1 2 8 2 1 6 3 7 4 6 5 9 4 2 8 PESSIMISTIC TIME 7 3 6 11 18 6 8 6 8 7 11 6 3 10 6 b

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Question 2 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 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?
ACTIVITY
A
C
D
E
F
H
1
K
L
M
N
IMMEDIATE
PREDECESSOR(5)
-
A
A
B, C
D
D
E, F
G, H
J
K
L, M
MOST
OPTIMISTIC LIKELY
TIME
TIME
6
1
6
5
1
2
1
1
2
8
2
1
6
2
6
8
9
3
7
4
6
5
9
4
2
8
PESSIMISTIC
TIME
7
3
6
11
18
6
8
6
8
7
11
6
3
10
2x9m+b
6
b)
Transcribed Image Text:Question 2 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 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? ACTIVITY A C D E F H 1 K L M N IMMEDIATE PREDECESSOR(5) - A A B, C D D E, F G, H J K L, M MOST OPTIMISTIC LIKELY TIME TIME 6 1 6 5 1 2 1 1 2 8 2 1 6 2 6 8 9 3 7 4 6 5 9 4 2 8 PESSIMISTIC TIME 7 3 6 11 18 6 8 6 8 7 11 6 3 10 2x9m+b 6 b)
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