Suppose that we have a multiprogrammed computer in which each job has identical characteristics. In one computation period, $T,$ for a job, half the time is spent in I$/$O and the other half in processor activity. Each job runs for a total of $N$ periods. Assume that a simple round$-$robin scheduling is used, and that I$/$O operations can overlap with processor operation. Define the following quantities:

Turnaround time $=$ actual time to complete a job

Throughput $=$ average number of jobs completed per time period $T$

Processor utilization $=$ percentage of time that the processor is active $($not waiting$)$ Compute these quantities for one, two, and four simultaneous jobs, assuming that the period $T$ is distributed in each of the following ways:

a$.$ I$/$O first half, processor second half

b$.$ I$/$O first and fourth quarters, processor second and third quarter