We propose a resource management model to avoid priority inversion problem that may occur when two tasks attempt to send service requests to a server task, and then the server task sends a request to another server task in a nested fashion. In this model we introduce two new concepts: job identifier inheritance and priority ceiling inheritance. We also suggest a new resource locking condition of the priority ceiling protocol for the computational model of the microkernel-based real-time system, called Mike, in which both IPC and synchronization are utilized and client/server communication model is frequently used in a nested fashion. To see the effectiveness, the proposed model has been implemented in Real-Time Mike developed previously. The implemented system shows that the resource management model efficiently prevents the priority inversion problem and avoids deadlock and multiple blocking.