This exercise contains only parts b, c, and d. b) The critical activities for the leadership training program development project are B-D-E-G. c) The project length for the leadership training program development project = 28 days. d) Slack time for each of the activities is: Activity A Slack Time
First we start with finding the Early Start Time (ES), Early Finish Time (EF), Late Start Time (LS), Late Finish Time (LF) using forward and backward pass.
ES and EF is calculated using forward pass where we start with the first activity and then move to the next activities in the network. First Activity is A so its ES will be 0. Similarly B and C don't have a predecessor so their ES will be 0 too.
Next EF times for A, B and C is calculated by adding the time to the ES. For Example, Activity A takes 4 days, its ES is 0, so EF time for Activity A is 0+4= 4 days. Similarly as shown below in the table EF time is calculated for B and C by adding the time to the ES values.
Next we see that Activity D starts after Activity B, hence ES for Activity D will be the EF of Activity B as D can start only after B finishes. EF is calculated again by adding time to the ES value.
Activity E can start only after A and D. A ends (EF) at 4 whereas D ends (EF) at 16. So E can start(ES) only at 16. Its EF will be Time of 4 days added to the ES value of 16 as shown below in the table.
Similarly we do the entire forward pass and fill the ES and EF values as shown in the table below.
| Activity | Immediate Predecessor | Time( days) | ES | EF | LS | LF | Slack (days) |
| A | - | 4 | 0 | 4 | 12 | 16 | 12 |
| B | - | 6 | 0 | 6 | 0 | 6 | 0 |
| C | - | 3 | 0 | 3 | 12 | 15 | 12 |
| D | B | 10 | 6 | 16 | 6 | 16 | 0 |
| E | A,D | 4 | 16 | 20 | 16 | 20 | 0 |
| F | C | 5 | 3 | 8 | 15 | 20 | 12 |
| G | E,F | 8 | 20 | 28 | 20 | 28 | 0 |
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