Hi Sonya:
there is not a "formula", but in general the efficiency (or performance) decrease exponentially (not linear), and the cost is increased exponentially.
This is due several factors:
- overtime (man-hours) are more expensive
- overtime has a natural loss of efficiency (for human resources)
- additional shifts (night shifts) have the same problems (above)
- contribution of additional resources (people) finally is inefficient (due the "decreasing performance law). In fact, too much additional resources will block the progress
- additional incentive payments will be requested
- additional supervision is required
If your problem is to recover a delay or just to decrease the total time (through the critical path), the are 2 options: fast track or crashing time.
For details, see PMBOK or other (exists a large literature).
Regards
(note: the picture is not mine, but it is a classical)