Final answer:
To calculate the combined slack for activities D and H, we need to find the difference between the total project duration and the sum of the durations of activities D and H. The combined slack is 31 days.
Step-by-step explanation:
In order to calculate the combined slack for activities D and H, we need to find the difference between the total project duration and the sum of the durations of activities D and H.
To find the total project duration, we can use the critical path method. By analyzing the network diagram and calculating the longest path, we can determine the total duration of the project. In this case, the critical path includes activities A, D, H, and I, with a total duration of 20 days.
Now, let's calculate the combined slack for activities D and H:
Slack for activity D = Latest Start Time - Earliest Start Time = 20 - 0 = 20 days
Slack for activity H = Latest Start Time - Earliest Start Time = 20 - 9 = 11 days
The combined slack for activities D and H is the sum of their individual slack values: 20 days + 11 days = 31 days.