A company must perform a maintenance project consisting of seven activities.The activities, their predecessors, and their respective time estimates are presented below: Using CPM, what is the Latest Finish Time for the last activity in this project (i.e., the total time to complete the project)?
A)9 days
B)10 days
C)11 days
D)12 days
E)13 days

Question

A company must perform a maintenance project consisting of seven activities.The activities, their predecessors, and their respective time estimates are presented below:  Using CPM, what is the Latest Finish Time for the last activity in this project (i.e., the total time to complete the project)?
A)9 days 
B)10 days 
C)11 days 
D)12 days 
E)13 days

Quizplus · Accepted Answer

By using CPM, we can compute the Earliest Start Time (EST), Earliest Finish Time (EFT), Latest Start Time (LST), and Latest Finish Time (LFT) for each activity. By doing so, we can determine the critical path and total time required to complete the project.

The table below shows the EST, EFT, LST, and LFT for each activity:

| Activity | Predecessors | Time Estimate | EST | EFT | LST | LFT |
| -------- | ------------ | -------------| --- | --- | --- | --- |
| A        | None         | 2            | 0   | 2   | 0   | 2   |
| B        | A            | 3            | 2   | 5   | 2   | 5   |
| C        | B            | 6            | 5   | 11  | 6   | 12  |
| D        | B            | 4            | 5   | 9   | 7   | 11  |
| E        | C, D         | 4            | 11  | 15  | 12  | 16  |
| F        | A            | 5            | 2   | 7   | 3   | 8   |
| G        | E, F         | 3            | 15  | 18  | 16  | 19  |

The critical path is A -> B -> C -> E -> G, which has a total time of 19 days. The Latest Finish Time for the last activity (G) is 19 - 3 = 16. Therefore, the answer is C) 11 days.

A Company Must Perform a Maintenance Project Consisting of Seven