Final answer:
The statement that is NOT true is that there can be more than one critical path through a network in the Critical Path Method (CPM).
Step-by-step explanation:
In relation to the Critical Path Method (CPM), the statement that is NOT true is option a. There can be more than one critical path through a network. In CPM, the critical path represents the longest sequence of dependent activities that determine the project's total duration. It is unique and cannot have multiple paths. Therefore, option a is incorrect.
Options b, c, and d are all true concerning the critical path method:
b. Activities on the critical path cannot be delayed because any delay in these activities will directly delay the project's overall duration.
c. If a critical path activity is delayed, it will delay the completion of the project since the critical path represents the minimum time required for project completion.
d. All activities on the critical path indeed have a float time equal to zero. Float time, also known as slack, is the amount of time an activity can be delayed without delaying the entire project. However, activities on the critical path have no slack since any delay will directly impact the project's duration.