If you cut perks, your best and brightest will leave much quicker, the elves leave middle earth. And then your company is essentially screwed, because you'll lose all of your key personnel. And you won't save very much money. This is the way of the bean-counters who know nothing of human motivation and morale. $1000 per employee is less than a percentage of their yearly salary.
If you instead decimate the company, many who survive the culling will be thankful to the company that they are keeping their job, and you'll actually save ~10% in salary costs and future obligations.
(The clever employees who see this coming will leave way before either scenario anyway)