The emergence of high-speed wireless cellular networks such as High Speed Downlink Packet Access (HSDPA) and 1× EVolution Data Optimized (1×EV-DO) will enhance the support of existing applications and will enable the development of a wide range of heterogeneous "content rich" multimedia applications that have different Quality of Service (QoS) requirements. However, due to scare wireless resources and high traffic demands, new resource management techniques are needed in order to satisfy the QoS requirements of the different heterogeneous applications and maximize the network capacity at the same time. In this paper, we propose a novel resource management scheme through packet scheduling for high-speed wireless cellular networks. The proposed scheme utilizes utility and opportunity cost functions to satisfy the needs of mobile users and service providers. Simulation results are provided to show the effectiveness and potential of our proposed scheme.