Your company's internal studies show that a single core system is sufficient for the demand

on your processing power. However, you are exploring whether you could save power by

using two cores. Assume that a dual$-$core machine has $1\mathrm{.}5$ times the performance of a single$-$core

machine of the same frequency. Performance is proportional to frequency. What should be the

frequency of the dual$-$core to keep same performance as the single core machine of frequency $f?$ If

the voltage decreases proportionally to the frequency, how much $($in percentage$)$ dynamic power

would the dual$-$core system save? If a dual$-$core machine has $2$ times the performance of a single$-$

core machine of the same frequency, how much $($in percentage$)$ dynamic power would the dual$-$

core system save compared to the single$-$core system?