Thank you both. We found a 10A supply for now and that should solve our problem.
On a side note, do either of you know a PCB mount barrel plug that will do 20A@12v. I have designed a board with 20 inputs that can switch 20 outputs arbitrarily. My bosses would like the total power to be 20A @ 12v and told me to just put 4 barrel plugs on it. I don't have time right now to look up the plugs, but I know they are not rated for 20A. I thought 4 plugs was silly, but was just going with it because that was the requirement they gave me. Now knowing for sure that that could be a problem, there is no way I will get the board sent to production like that.