The palm has long and narrow frawns. The edges of the palm frawn are not spiney, but smooth to the tough. It produces a red fruit that is the size of a plumb tomato and is also smooth in texture. See pictures. The palm is grown in southern Florida - specifically Miami area. Send responses to kenester@earthlink.net if you can ID this species. Thank you,
I'd say it's a Wodyetia bifurcata or "foxtail palm". Check out this link: http://www.floridata.com/ref/W/wody_bif.cfm