專案管理（A Level 專屬）：練習題

In project management, what specific milestone or event does a deliverable represent?

A project manager is analyzing a project network using the Critical Path Method (CPM). An activity has an Earliest Start time of day \(8\), an Earliest Finish time of day \(14\), a Latest Start time of day \(11\), and a Latest Finish time of day \(17\). What is the total float for this activity?

A project manager needs to determine the critical path for a project with the following four sequential paths and durations from start to end:
- Path 1: Tasks A \(\rightarrow\) B \(\rightarrow\) E with a duration of \(18\) days
- Path 2: Tasks A \(\rightarrow\) C \(\rightarrow\) E with a duration of \(22\) days
- Path 3: Tasks A \(\rightarrow\) D \(\rightarrow\) F with a duration of \(15\) days
- Path 4: Tasks G \(\rightarrow\) H with a duration of \(20\) days
If the duration of Task C on Path 2 is reduced by \(3\) days, what is the new duration of the project's critical path?

In project management, which term is used to describe the period of time that a task can be delayed without affecting the project finish date or the start of a subsequent task?

When using the Critical Path Method (CPM) in project management, what is the primary characteristic of the tasks located on the critical path?

In Project management, a manager identifies the critical path for a new software development project. If a project consists of three sequential tasks on the critical path with durations of \(6\) days, \(10\) days, and \(5\) days, calculate the total project duration. State the specific effect on the final completion date if the first task in this sequence is delayed by \(3\) days.

In project management and Critical Path Method (CPM) analysis, a non-critical activity has an earliest start time of day \(8\), a latest start time of day \(14\), and an estimated duration of \(5\) days. Calculate the total float of this activity and state the maximum number of days this activity can be delayed without delaying the overall project completion date.

Explain how Project Management Software assists a project manager in allocation of resources when multiple tasks overlap in a schedule.

A project manager is using a Gantt chart to coordinate tasks for a small software update. Refer to the diagram. Each unit on the horizontal axis represents one day.
(a) Calculate the total minimum number of days required to complete the project if Task B is dependent on Task A, but Task C can run independently.
(b) Describe one reason why a project manager would use a Gantt chart rather than a simple task list to monitor this project.

A project manager is analyzing a software implementation project using Critical Path Method (CPM) and PERT analysis.

The project tasks, their durations, and immediate predecessor dependencies are given as follows:
• Task A: Requirements definition, duration = \(4\) weeks, no predecessor.
• Task B: Database design, duration = \(6\) weeks, depends on Task A.
• Task C: User interface prototype, duration = \(3\) weeks, depends on Task A.
• Task D: Core backend coding, duration = \(8\) weeks, depends on Task B.
• Task E: Frontend integration, duration = \(5\) weeks, depends on Task C.
• Task F: Final system deployment, duration = \(2\) weeks, depends on both Task D and Task E.

(a) Identify the two distinct paths connecting the start to the end of the project and calculate the duration of each path.
(b) Identify the critical path and state the minimum total project duration.
(c) Calculate the total float (slack time) for Task C.
(d) Explain the impact on the final project completion date if Task E is delayed by \(4\) weeks.