You did not post that in the OP so based on the information initially give the calcs are right ;) But that is good that the new player will get an extra 3000 however how do you figure 4440 total when they will only be able to hold 3000? Will they have a temporary 1 week of 5000 max?
I think the system wasn't made to bring the points down to the max if they go over, I think it just won't add more if you're at 3000 (Or above in this case)
Anyway the reason I dislike this idea is that up to now, this was one of the few games that allowed playing for a whole day. Hence it has kept people busy for 48 hours (afaik) but it also allows playing for just 10-15 min. which means you have a very big player base.
By the feature just implemented (the so called AP system) you have just drasticly limited this play time.
The reason I play this game is because I can log in stay however long I want, then go offline.
I have forgotten about a whole lot of other games because I log in, do some stuff and am forced to logout because I have nothing more to do or have to wait 2 hours to do something. I just don't like to be on for that short a period. Now you are probably going to say, hey 3k AP is not a short period of time. But guess what, once I've used those 3k of AP I'll be sitting here waiting untill I can do something again, and if you get 1440 ap in 24 hours. that means that with 10 hours of sleep and 14 hours of playing I'll get about 600 ap. and that's alot less then I can use.
I'll see what you do with so many people complaining. I know you're trying to deliver us a great balanced game. But all I say is that although your doing a great job already try to listen to what people say about new functions and don't just debunk them because you know it's better. Sometimes the playerbase you have is just dumb but you'll have to statisfy us nonetheless. That's the point of this anyway isn't it?
Just tell me if I'm dead wrong and my apologies if I've been harsh I've tried to stay friendly