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Path B-C-M-Q is the one and only critical path of a project. Which of the follow

ID: 2923087 • Letter: P

Question

Path B-C-M-Q is the one and only critical path of a project. Which of the following statements do we know for certain tobe TRUE of path B-C-M-Q?

Reducing the duration of any activity on this path by one day will reduce the duration of the project by one day.

Reducing the duration of any activity on this path by four days will reduce the duration of the project by four days.

It is possible for an activity on this path to have slack time, if that activity is also on “non-critical” paths.

All of the these answers will be true.

None of these answers will always be true

a.

Reducing the duration of any activity on this path by one day will reduce the duration of the project by one day.

b.

Reducing the duration of any activity on this path by four days will reduce the duration of the project by four days.

c.

It is possible for an activity on this path to have slack time, if that activity is also on “non-critical” paths.

d.

All of the these answers will be true.

e.

None of these answers will always be true

Explanation / Answer

Given that Path B-C-M-Q is the one and only critical path of a project.

duarion of project equal to duration of path B-C-M-Q i.e duarion of project equal to duration of B +duration of C +duration M + duration of Q

so reducing duration of any activity by n days may or may not reduce the duration of project by n days because other paths may become critical by reduction of duration of these activities

so (a) and (b) are false

no activity in critical path has slack time by definition so (c) is false

so none of the options are correct so answer is (e)