Unlike state corps, CEO corporations in your country are always paying you something for fixed property costs and resources used if they are producing. Additionally the number of people employed by a CEO effects the numbers of disabled you can rehabilitate along with the number of housewives you can put back to work.
Even if a CEO is losing money, they'll be a bigger benefit than a state corp which is losing money and sucking cash from your country and they generally pay higher salaries.
They also upgrade to higher levels requiring less LLW's.
Before you worry about "dealing" with a CEO in your country, take a look at the ratio of income you get from CEO owned corps vs state owned.
But if you want to "deal" with one you can Nationalize them, or if they are active simply jack your taxes above 40% as they will more than likely move. This option has a cascade effect.
If a ceo owned corp is not making a profit in your country it's for one of three reasons.
The Market is causing issues, which is temporary.
(if you nationalize and that is the issue you'll really lose money)
Your country sucks (in which case the ceo is a larger benefit than you realize)
The ceo sucks or is intentionally doing something.
Just make sure there aren't enough ceo corps in your country that they decide to "deal" with you.