Please answer the following:

a$.$ What is the maximum speedup of the computation given that only $\%60$ of the

computation can be executed in parallel? Explain clearly. There will be no credit for a single,

numeric value.

b$.$ If you have $p$ processors, what is the maximum speedup you can get? Is it possible to

achieve greater speedup and, if so$,$ under what circumstance might this happen?

c$.$ Given a sequential algorithm always requiring $n$ operations on $n$ numbers, you

implemented a parallel version requiring $(\frac{n}{p}+logp)$ time. What is the efficiency $(E)$ of your

algorithm?

d$.($Continue from part $($c$))$: When $($up to how many processors$)$ is your algorithm cost

optimal? Show your math.