$.(25$ pts$)$ Assume that you are considering enhancing a machine by adding a special

feature to it$.$ The percentage of time $($the original run time before the feature is added$)$

that the machine can be run using this new feature is denote as p$\%,$ and, during this

portion of time, the machine with this new feature runs f $\%$ faster than the old one

without it$.$

$($a$)$ Determine the overall speedup for each of the following:

i$.$ p $=80,$ f $=40$

ii$.$ p $=50,$ f $=80$

iii. p $=30,$ f $=100$

iv$.$ p $=10,$ f $=200$