Question

8) Shirley Hopkins is developing a program in leadership training for middle-level managers. Shirley has listed a number of activities that must be completed before a training program of this nature can be conducted. The activities, immediate predecessors, and times appear in the accompanying table. Provide the following: a) AON diagram for these precedencies and b) What is the critical path?What is the total project completion date?What is the slack time for each individual activity?

Activity	Immediate Predecessor	Time (days)
A	-	2
B	-	5
C	-	1
D	B	10
E	A,D	3
F	C	6
G	E,F	8

Answer 1

ACTIVITY	DURATION	ES	EF	LS	LF	SLACK
A	2	0	2	13	15	13
B	5	0	5	0	5	0
C	1	0	1	11	12	11
D	10	5	15	5	15	0
E	3	15	18	15	18	0
F	6	1	7	12	18	11
G	8	18	26	18	26	0

FORWARD PASS

1. Go from left to right in a network.

2. ES = maximum of the EF value from all the direct predecessors.

3. EF = ES + Duration.

BACKWARD PASS

1. Go from right to left in a network.

2. LF = minimum of the LS value from all the direct predecessors.

3. LS = LF - Duration.

CRITICAL PATH

1. Total slack of all activities should be 0.

2. The total duration of all the activities should be the highest.

3. Slack = LF - EF or LS - ES

CRITICAL PATH & DURATION

B + D + E + G = 26