Suppose we have a multiprogrammed computer in which each job has identical characteristics. In one computation period, T$,$ for a job, the first half of the time is spent in I$/$O$,$ and the second half in processor activity. Each job runs for a total of N periods. Assume a simple round$-$robin scheduling is used. Round$-$robin scheduling simply means that each job is scheduled one after the other in repeating sequence. Also, assume I$/$O operations can overlap with processor operation. You will be providing formulas for different quantities in terms of T and N$.$ The formulas you will be defining are for:

Turnaround time: The actual total time to complete all jobs.

Processor utilization: Ratio of the time that the processor is active $($not waiting$).$