Use the following network diagram and assume that activity durations and lags ar

Question

Use the following network diagram and assume that activity durations and lags are increased by one time unit. Answer following questions (within the textbox below) and upload your detailed solution in the dropbox: The ES for Activity C is The LS for Activity E is The LS for Activity G is The slack for the start of Activity G is The slack for the start of Activity B is The slack for the start of Activity E is The slack for the finish of Activity H is The slack for the finish of Activity F is The slack for the finish of Activity G is

Explanation / Answer

Lag and activity time is increase by 1 unit.

lag 2' = lag 2 + 1

lag 3' = lag 3 + 1

1. ES(C) = Finishing time of A = 1 + 1 = 2

2. If lag 3' <= 2 then

LS(E) = Completion time of A and B = (1+1) + (5+1) = 8

For example: if lag 3' = 1

LS(E) = 8

Otherwise,

LS(E) = Completion time of A and C + lag 3' = 2 + 4 + lag 3' = 6 + lag 3' = 7 + lag 3

For example: if lag 3' = 3

LS(E) = 6 + 3 = 9

3. LS(G) = Completion time of A, D, and F + lag 2' + lag 3' = 2 + 3 + 6 + lag 2' + lag 3' = 11 + lag 2' + lag 3' = 13 + lag 2 + lag 3

4. Slack(G) = LS - ES = 11 + lag 2' + lag 3' - ES(G)

ES(G) = Completion of A and C + lag 2' = 2 + 4 + lag 2' = 6 + lag 2'

Slack(G) = 11 + lag 2' + lag 3' - 6 - lag 2' = 5 + lag 3' = 6 + lag 3

5. Slack (B) = LS(B) - ES(B) = completion of A - completion of A = 0

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