You do
not want soft permanently compressible foam under an acrylic tank - or any at all really. The only tank you want beaded styrofoam under is a rimless glass tank.
You do need a firm, flat surface upon which to place an acrylic tank. The recommendation is 2 sheets of 3/4" plywood, glued together and screwed to a frame that has proper crossbraces/etc (or just set on top of a metal square tube frame stand)
You may however set an acrylic tank on neoprene, that can get expensive though.
BRS sells sheets of neoprene for this purpose. You can use neoprene because it is thin, it compresses, but the compression is not permanent. Styrofoam compression is permanent and that is a problem under acrylic tanks
The blue or pink insulation board from Lowes or Home Depot is much more rigid than white beaded styrofoam, and you maybe could use that under an acrylic tank, the thinner the better.
However: there is a caveat to this, and it is another reason not to use foam under an acrylic tank. Most people cut the foam to the exact footprint of the tank. If you think about it though, the weight of the tank gets transmitted to the stand across the entire footprint. If there is a soft material under it, and the edge of that material is right at the edge of the footprint (versus extending out maybe 1/4 or so all around) then you end up with an "edge effect" where the weight isn't supported as well. The result is that the foam will compress more around the edge, and less in the middle (where the tank is not as rigid) resulting in upward pressure on the middle of the bottom panel. Acrylic can take that, but it places stress on joints and such that are completely avoidable by simply not placing the tank on foam.
Foam isn't needed under acrylic vs glass because glass can't take any inflection (like a grain of sand, or an imperfection in the wood surface) while acrylic is more resilient to this type of imperfection.
Also for the record, a glass tank with a full trim (like one from AGA or another big manufacturer) should never ever ever be placed on foam ever ever.
Also also: custom glass tanks that come with a thin plastic "L" strip around the bottom are not "rimmed" - that trim piece is just for fashion, not function.