Methods of tailoring polyethylenes are contemplated utilizing 0.5 to 70 volume percent oxygen containing gases. The tailoring occurs in a melt-conveying zone of a mixer/extruder, and not in the feed or melting zones of a mixer/extruder. The effect of tailoring is to decrease the haze and/or increase the gloss of blown films made from the tailored polyethylenes compared to similar polyethylenes that are extruded/mixed in the substantial absence of oxygen or oxygen containing gases.