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1.18- When parallelizing an application, the ideal speedup is speeding up by the number of processors. This is limited by two things: percentage of the application that can be parallelized and the cost of communication. Amdahl's law takes into account the former but not the latter. 
a) What is the speedup with N processors if 80% of the application is parallelizable, ignoring the cost of communication? 

b) What is the speedup with 8 processors if, for every processor added, the communication overhead is 0.5% of the original execution time. 


c) What is the speedup with 8 processors if, for every time the number of processors is doubled, the communication overhead is increased by 0.5% of the original execution time? 

d) What is the speedup with N processors if, for every time the number of processors is doubled, the communication overhead is increased by 0.5% of the original execution time? 


e) prepare the general equation that solves this problem: What is the number of processors with the highest speedup in an application in which P% of the original execution time is parallelizable, and, for every time the number of processors is doubled, the communication is increased by 0.5% of the original execution time?

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