Consider two processors P$1,$ and P$2$ executing a same

instruction set. P$1$ has: $3$ GHz clock rate and CPI of $1\mathrm{.}5.$ P$2$ has: $2\mathrm{.}5$ GHz clock

rate and CPI of $1\mathrm{.}0.$

$($i$)$ Which has the highest performance in instructions per

second?

$($ii$)$ If the processors each execute a program in $10$seconds, discover the number of cycles and instructions.

$($iii$)$ When reducing Instruction time by $50\%,$ it leads to an

increase of $20\%$ for CPI. What clock rate is needed to get this time

reduction?