Industrial Engineering and Production Management
The assumption in PERT is

A project can be subdivided into a set of predictable, independent activities
Activities are fixed and can't be changed
A project will always be behind schedule, if left uncorrected
Cost of project will always be more than the estimated cost, if no timely corrections are taken

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Industrial Engineering and Production Management
When slack of an activity is positive

Any one of the above
It represents that a programme falls behind schedule and additional resources are required to complete the project in time
It represents a situation where extra resources are available and the completion of project is not delayed
The activity is critical and any delay in its performance will delay the completion of whole project

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