Question 17.1: Given the additional information on the bank network of Figu......
Given the additional information on the bank network of Figure 17.4 shown in Figure 17.5 , determine
a. The length of each path.
b. The critical path.
c. The expected length of the project.
d. The amount of slack time for each path.
a. As shown in the following table, the path lengths are 18 weeks, 20 weeks, and 14 weeks.
b. Path 1-2-5-6 is the longest path (20 weeks), so it is the critical path.
c. The expected length of the project is equal to the length of the critical path (i.e., 20 weeks).
d. We find the slack for each path by subtracting its length from the length of the critical path, as shown in the last column of the table. (Note: It is sometimes desirable to know the slack time associated with activities. The next section describes a method for obtaining those slack times.)
| Path | Length (weeks) | Slack |
| 1-2-4-5-6 | 8 + 6 + 3 + 1 = 18 | 20 – 18 = 2 |
| 1-2-5-6 | 8 + 11 + 1 = 20* | 20 – 20 = 0 |
| 1-3-5-6 | 4 + 9 + 1 = 14 | 20 – 14 = 6 |
*Critical path length.