1. It is said that a delay in critical path activity will delay the project, while a delay in a noncritical path activity will not necessarily delay the project. Explain the need to specify "not necessarily." 2. Why does a project necessarily have to possess some form of deadline? What is the implication of a project without a deadline?
3. Task C has two immediate predecessors, tasks A and B. Task A has an early finish time of three days, and task B has an early finish time of five days. Task C is two days long. What is the early finish time of task C?
4. Task E has an early start time of three days and an early finish time of five days, while it also has a late start time of ten days and a late finish time of 12 days from now. What is the slack in task E?

1. The need to specify "not necessarily" delay the project implies that the presence of positive slack or float enables a project to be completed without regard to the noncritical path activity.

2. A project necessarily possesses some form of deadline because deadlines help a project team to collaborate toward achieving the shared goal.  Another reason for a deadline is to keep complex projects on track. Deadlines also help to set project delivery expectations. Deadlines eliminate confusion in the execution of projects.  A project without a deadline looks meaningless and unimportant.

3. Task C's early finish time = 7 days.

4. The slack in task E = 2 days.

Explanation:

a) Task C's immediate predecessors = Tasks A and B

Task A's early finish time = 3 days

Task B's early finish time = 5 days

Task C's duration = 2 days

Therefore, task C's early finish time = 5 + 2 = 7 days

b) Task E's early start time = 3 days

Task E's early finish time = 5 days

Task E's late start time = 10 days

Task E's late finish time = 12 days

Slack in task E = 5 - 3 = 2 days

c) Task E can be finished in 3 days (e.g. from day 10 to day 12), but it was allocated an early completion time of 5 days.  This implies that there is a slack of 2 days.

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