Final answer:
In the context of queueing theory, increasing the number of servers while maintaining the same processing and inter-arrival time leads to a decrease in utilization for each server, as the workload is distributed across more resources. Option A is correct.
Step-by-step explanation:
The question 'The more servers for the same processing and inter-arrival time the ___________ the utilization' deals with the concept of server utilization in the context of queueing theory or operations management. Utilization in this context refers to the percentage of time that the servers are busy processing tasks. When the number of servers is increased, while the processing and inter-arrival times remain the same, each server ends up with fewer tasks to process in a given time period.
Therefore, with more servers available to handle the workload, the individual workload on each server decreases, leading to lower utilization for each server. This is because the total processing capacity has increased, while the amount of work needing processing has not, so less of that capacity is used at any given moment. The correct answer is A. Lower.