747,
It doesn't matter who you work for if pilots and cabin crew are working to the regulatory hours limit. You can't be any more "productive" than the regulations permit.
What you can do is cut waste and lower the non revenue generating staff; have ground staff trained in multiple tasks and examine where small savings can be made, which multiplied out, create large savings.
For example, is it not cheaper to have all the aircraft come back to base each night rather than nightstop the crews? Reduce the ground turn round times to improve utilisation etc.