Is my Alternator able to run this?
 

I have a 1994 Honda Accord LX, and just installed my new Sony GT575UP Head Unit. I am wanting to install my Sub Combo package, and it has an amp that will be putting 250 Watt RMS @ 2ohms to my Subs. Will my Alternator be able to handle this load? (I am pretty sure it is still the same alternator that came with the car)

Head Unit: Sony CDX-GT575UP CD receiver at Crutchfield.com

Bass Package: MTX TNP212D2 Bass Package Dual 12" sealed enclosure with 250-watt mono amplifier at Crutchfield.com
(I know the amp RMS is pretty low, but I wanted to get a package since I was a bit limited on my funds at the time. I wil most likely be upgrading it later, but later will be at last a year from now)

you should be fine.

I don't see why you wouldn't be fine with the stock one. Whats the amps on the stock alt? I know im pushing a lot more than you with my tercel and it still has a 55 amp alt on it. No dimming lights or anything but i am running 5 gauge wire to the amp, optima yellow top battery, and additional 4 gauge wire from alt to the battery.