The present invention relates to compositions comprising blends of alkenyl aromatic polymers such as styrenic polymers (i.e. PS and HIPS) and bio-based or biodegradable polymers (i.e. PLA, PGA, PHA, PBS, PCL) compatibilized with styrene-based copolymers (i.e. styrene-ethylene-butylene-styrene (SEBS) block copolymers, maleated SEBS, styrene-maleic anhydride (SMA) copolymer, styrene-methyl methacrylate (SMMA) copolymer) or a mixture of two or more styrene-based copolymers such as SEBS and SMA. These novel compositions can be extruded and thermoformed to produce very low density food service and consumer foam articles such as plates, hinged lid containers, trays, bowls, and egg cartons with good mechanical properties.