$[40$ Points$]$ Assuming a benchmark program $($i$.$e$.,$ workload$)$ with $p\%$ of the instructions

parallelizable, please analyze the speedup of a $10-$processor system vs$.1-$processor system using

the following two methods:

a$.[15$ Points$]$ Strong scaling $($i$.$e$.,$ assuming fixed workload when analyzing the two

systems$).$

b$.[15$ Points$]$ Weak scaling $($i$.$e$.,$ assuming the workload of the parallelizable part grows

proportionally to the increase in the number of processors$).$

c$.[10$ points$]$ Are the speedup results you obtained in $($a$)$ and $($b$)$ the same? If they are the

same, please explain why you obtained the same results using two different methods; if

they are different, do they lead to opposite conclusions about whether the performance is

improved when scaling from $1$ to $10$ processors? Please justify your answer.