$10$ The execution times of six parallel programs, labeled I$-$VI$,$ have been benchmarked on $1,2,$dots,$8$ processors. The following table presents the speedups achieved by these programs.

$\backslash$table$[[,$Speedup,,$],[$Processors$,T,$H$,$III,IV$,$V$,$VI$,,,],[1,1\mathrm{.}00,1\mathrm{.}00,1\mathrm{.}00,1\mathrm{.}00,1\mathrm{.}00,1\mathrm{.}00,,,],[2,1\mathrm{.}67,1\mathrm{.}89,1\mathrm{.}89,1\mathrm{.}96,1\mathrm{.}74,1\mathrm{.}94,,,],[-3,2\mathrm{.}14,2\mathrm{.}63,2\mathrm{.}68,2\mathrm{.}88,2\mathrm{.}30,2\mathrm{.}82,,,],[4,2\mathrm{.}50,3\mathrm{.}23,3\mathrm{.}39,3\mathrm{.}67,2\mathrm{.}74,3\mathrm{.}65,,,],[5,2\mathrm{.}78,3\mathrm{.}68,4\mathrm{.}03,4\mathrm{.}46,3\mathrm{.}09,4\mathrm{.}42,,,],[6,3\mathrm{.}00,4\mathrm{.}00,4\mathrm{.}62,5\mathrm{.}22,3\mathrm{.}38,5\mathrm{.}15,,,],[7,3\mathrm{.}18,4\mathrm{.}22,5\mathrm{.}15,5\mathrm{.}93,3\mathrm{.}62,5\mathrm{.}84,,,],[8,3\mathrm{.}33,4\mathrm{.}35,5\mathrm{.}63,6\mathrm{.}25,3\mathrm{.}81,6\mathrm{.}50,,,]]$

For each of these programs, choose the statement that best describes its likely performance on $16$ processors:

A$.$ The speedup achieved on $16$ processors will probably be at least $40,$ percent higher than the speedup achieved on eight processors.

B$.$ The speedup achieved on $16$ processors will probably be less than $40$ percent higher than the speedup achieved on eight processors, due to the large serial component of the computation.

C$.$ The speedup achieved on $16$ processors will probably be less than $40$ percent higher than the speedup achieved on eight processors, due to the increase in overhead as processors are added.