The single thread performance of processor generally increases with the area of the processor.

Consider that in the technology node available to us$,$ the single$-$thread performance of a core

increases with the square root of the area. For example, if you increase the area of a core by four

times, the performance doubles. You are analyzing the performance of three processors $($P$1,$ P$2,$ and

P$3)$ that have different area for a single core as follows:

P$1$: Single core area $=$ A

P$2$: Single core area $=4$A

P$3$: Single core area $=16$ANow assume that you have an area budget of $32$A$.$ You can utilize this area to include multiple

cores of the same type, e$.$g$.8$ cores of P$2$ or $2$ cores of P$3.$ Which of the three processors

will give the maximum speedup in this case? What is the speedup with respect to a single

processor P$1?$ The workload is same as that of part $($a$),$ i$.$e$.$ the serial portion is S$.$

$($c$)$ Finally, you build a heterogeneous system that has one processor P$3$ and $16$ processor P$1$s

$($total area is $32$A$).$ Now the serial portion is of the workload is running on P$3$ while the parallel