Which of the following statements regarding time$-$cost tradeoffs in CPM networks is FALSE?

A$)$ Crashing shortens project duration by assigning more resources to critical tasks.

B$)$ Crashing sometimes has the reverse result of lengthening the project duration.

C$)$ Crashing must consider the impact of crashing an activity on all paths in the network.

D$)$ Activities not on the critical path can become critical after crashing takes place.

E$)$ A negative crash cost per period would imply that either crashing is cheaper than not crashing or that the crash time was slower than the normal time.