power supply issue

I have a customer who has a car audio setup installed in his restaurant. He has a deck, changer, xm piece, and a small four channel mtx amp, thunder 404. This amp has two 25 amp fuses in it.

The problem: His current battery and trickle charger do not keep up. The battery winds up dead, usually. The trickle charger is rated at 5 amps. This essentially mocks a car with too small of an alternator and the battery takes the beating.

A solution, maybe? I can get my hands on a power supply that produces about 18 amps, but I am concerned that this will not keep up with the draw, as the music is blasted all day at this restaurant. In addition, this power supply will eliminate the battery as per suggested by the sales man.

So what's the verdict, is the 18 power supply gonna keep up?

I use an Astron RS-70A  to run the system in my garage without a battery. You can find Astron power supplies here: http://www.astroncorp.com/linear.shtml

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Funny you list that model, that's the one I was just looking at in our show room. In fact I ordered an Astron model previously, the 35 amp model, but thought it to be too big, and it didn't have a low power mode or trickle mode when the stereo in not on full blast.