Q$4.$ Attempt the following question related to system efficiency:

$4+2+2+2+2=12$

i$.$ Derive expression of system efficiency for fixed workload and scaled$-$workloads.

ii$.$ If number of nodes in cluster is $100,$ sequential code is $40\%,$ calculate the speedup achieved

assuming fixed workload.

iii. If number of nodes in cluster is changed to $200$ keeping other parameters same, calculate the

speedup achieved assuming fixed workload.

iv$.$ What's the conclusion drawn from the above two speedup numbers obtained in $($ii$)$ and $($iii$)?$

v$.$ Calculate the system efficiency for cluster consisting of $100$ nodes and sequential code is

$40\%.$