A method and apparatus for prioritizing the use of multifunctional printing system's basic processing resources to allow a high priority job to gain immediate access to a shared resource. The printing system employs a controller with an improved job contention manager (JCM). A plurality of basic resources of the printing system are provided with a queue. One or more job services, at desired times, provides a first signal to the JCM to carry out a sub-job of a given job. The signal for each of the sub-jobs includes information about the respective sub-job and its priority. Responsive to the signal from the job service the JCM adds a corresponding basic resource sub-job to the queues of each basic resource which the added sub-job will require to perform the sub-job. The resources are reassigned by the JCM according to the priority of the added sub-job in the queues. If the added sub-job is the highest priority sub-job in the queues then responsive to the reassignment of the basic resources processing of the sub-jobs is initiated.