With severance packages, the first offer is always the best offer. Companies don't sweeten the offer. Involuntary layoffs with reduced severance (unemployment and 1 week of severance for every year of service), is likely the next step in reducing costs. Now GE can pick and choose which "roles will be eliminated" and dump whomever they please. It's legalized discrimination. Good Luck to all.
This is an important point to take into consideration. I am yet to hear that somebody got a better offer once they refused their initial severance package. If I am wrong, please correct me, but from my experience, this is how they operate.