People making the layoffs need to stop saying things like "I take responsibility. I made the choices. It was my fault". Saying this is an insult to the rest of the company and to the people being laid off. It's the company's responsibility. Hiring and firing is not a one-man show. If it is, then you're micromanaging. It also insults the people getting laid off because you're making it about you, as if you get to hire and fire anyone at anytime. If you truly take all the responsibility and blame, then set your compensation to $0 or much lower and keep as many employees as possible.
Apologize to the employees leaving as a company. Explain why. Tell them what happens next. Apologize again.
Don't insult them by making it about yourself.