[paxys]

Depends on what "credit card company" you are talking about.

Visa/Mastercard/AmEx and others don't care whether you are paying off your bill or not. The take a cut of every transaction done on their networks.

Banks that issue the cards do profit from interest, but that is somewhat balanced by some people just never paying. They also collect various kinds of fees, whether directly for the card or other parts of their business (e.g. they attract customers with good cash back cards then sell them on mortgages or auto loans).

Ultimately everyone is paying for credit cards simply from the price of goods they buy going up to account for the costs.

[RajT88]

I am hearing from vendors that the card companies have been raising their rates recently too.