Question

Screen Shot 2020-04-20 at 3.45.19 PM Z o @ Q Search A project for improving a billing process has the following precedence relationships and activity times: Activity Activity Time (weeks) Immediate Predecessor(s) <MOOW LUI b. Calculate the slack for each activity. Which activities are on the critical path? Activity Activity Time (weeks) On critical path? Slack (weeks) Yes No Yes Yes | <mo owu o I No Yes No Yes

Please help me find the critical path and the slack. I've been struggling on this for awhile

Answer 1

ACTIVITY	DURATION	ES	EF	LS	LF	SLACK	CRITICAL
A	4	0	4	0	4	0	YES
B	7	0	7	2	9	2
C	5	4	9	4	9	0	YES
D	11	9	20	9	20	0	YES
E	9	7	16	12	21	5
F	4	20	24	20	24	0	YES
G	3	16	19	21	24	5
H	9	24	33	24	33	0	YES

ES = MAX(EF OF ALL PREDECESSORS); 0 FOR FIRST ACTIVITY

EF = ES + DURATION

LF = MIN(LS OF ALL SUCCESSOR ACTIVITIES); MAX EF AS LF FOR LAST ACTIVITY

LS = LF - DURATION

SLACK = LF- EF

CRITICAL PATH = LONGEST PATH WITH 0 SLACK:

CRITICAL PATH = A--C--D--F--H

DURATION OF PROJECT = 33

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