The table below lists the time estimates and immediate predecessor(s) for each activity in a product marketing project that is to be scheduled using CPM. Similar projects for other products have been accomplished in the past, so the activity times are fairly certain. (a) Draw the CPM network diagram for the project, labeling all activities and times. (b) Perform a forward pass and backward pass through the network to determine the critical path, the expected duration of the project, and the slack time for each activity. Activity 1 3 5 6. 7 8 9. Activity time (days) 1 Immediate predecessor 3 5 6 9 4 1 1 1 3,4 5,6 4 7,8 2.

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### Project Scheduling with CPM

The table below provides time estimates and immediate predecessors for activities in a product marketing project. This project is scheduled using the Critical Path Method (CPM), based on previous successful projects with similar characteristics. The activity times are considered reliable.

#### Activity Details:

| Activity | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|----------|---|---|---|---|---|---|---|---|---|
| Activity time (days) | 1 | 4 | 3 | 7 | 5 | 2 | 6 | 9 | 4 |
| Immediate predecessor | — | 1 | 1 | 1 | 2 | 3, 4 | 5, 6 | 5, 6 | 7, 8 |

#### Tasks:

(a) **Draw the CPM Network Diagram**: Create a network diagram representing the project, labeling each activity with its respective time and connecting them based on the immediate predecessors outlined in the table.

(b) **Determine the Critical Path**: Perform a forward pass (to calculate the earliest start and finish times) and a backward pass (to calculate the latest start and finish times). Determine the project's critical path, overall duration, and slack time for each activity.

#### Additional Scenario:

- **Task Update**: Modify the scenario with a new estimated activity time for activity 6 of 4 days instead of 2 days. Reassess the project duration and critical path accordingly.

This exercise helps in understanding the practical application of CPM in project management, ensuring efficiency in scheduling and resource allocation.
Transcribed Image Text:### Project Scheduling with CPM The table below provides time estimates and immediate predecessors for activities in a product marketing project. This project is scheduled using the Critical Path Method (CPM), based on previous successful projects with similar characteristics. The activity times are considered reliable. #### Activity Details: | Activity | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | |----------|---|---|---|---|---|---|---|---|---| | Activity time (days) | 1 | 4 | 3 | 7 | 5 | 2 | 6 | 9 | 4 | | Immediate predecessor | — | 1 | 1 | 1 | 2 | 3, 4 | 5, 6 | 5, 6 | 7, 8 | #### Tasks: (a) **Draw the CPM Network Diagram**: Create a network diagram representing the project, labeling each activity with its respective time and connecting them based on the immediate predecessors outlined in the table. (b) **Determine the Critical Path**: Perform a forward pass (to calculate the earliest start and finish times) and a backward pass (to calculate the latest start and finish times). Determine the project's critical path, overall duration, and slack time for each activity. #### Additional Scenario: - **Task Update**: Modify the scenario with a new estimated activity time for activity 6 of 4 days instead of 2 days. Reassess the project duration and critical path accordingly. This exercise helps in understanding the practical application of CPM in project management, ensuring efficiency in scheduling and resource allocation.
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