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This paper deals with packet scheduling for Voiceover-IP (VoIP) traffic in the Long Term Evolution (LTE) EUTRAN Downlink. The more specific target is to optimize the performance of dynamic scheduling for traffic mixes of VoIP and best effort users. To this end, we introduce the Required Activity Detection (RAD) packet scheduling algorithm with Delay Sensitivity (RAD-DS).With an appropriate delay sensitivity function, it is shown that a MACRO 1 cell with 5MHz transmission bandwidth can support up to 346 VoIP users. Furthermore, a novel delay sensitivity based soft prioritizing strategy is proposed for handling traffic mixes. It is shown that when 200 VoIP users are present in a cell along with best effort users, the proposed strategy can provide a cell throughput of up to 82% of the cell throughput with only best effort users.