A package for either conventional oven or microwave heating of refrigerated or frozen foodstuffs includes an outer paperboard container and an inner food carrying tray or dish. The bottom of the plastic tray rests on the container bottom. The dish is flanged, the flange provided with one or more ears extending downwardly and sandwiched between container side walls. The dish flange is polygonal, having one or more edges abutting respective one or more interior walls of the container. A portion of the top cover of the container is removed by ripping along tear lines. The tear or ripping lines yield four triangular corner sections on the remaining, unripped container top cover, these sections overlying portions of the tray flange. This arrangement prevents the tray from being removed from the container through the top cover access opening defined upon ripping. The construction permits the use of much thinner plastic for the tray since the paperboard container assists in supporting and rigidifying the tray during shipping, storage, and manual handling by the consumer.