This may not be an issue for you as you say you will be leaving the machine on 24/7 which I take to mean you will not be allowing it to sleep; however, if you wanted to save some energy by sending the computer to sleep then you may have a problem.
I have a 2007 24" iMac upgraded to run Mavericks and have just taken delivery of a 27" model which is obviously running Mavericks out the box.
I have no trouble leaving the old iMac on all the time with the energy settings set to send the display and computer to sleep. When I return to use the machine a quick wiggle of the mouse or tap on the keyboard wakes it up okay.
I immediately had a problem with the new iMac using these settings. After it goes to sleep there is no way to wake it up and the only solution is to reset it by holding the power button on the back. My temporary workaround is to just send the display to sleep and check the box in the energy settings that prevents the computer going to sleep but this isn't a solution in the long run.
I've checked various forums and this seems to be a common problem at the moment so it's just a case of waiting for a fix from Apple.