Consider three different processors P$1,$ P$2,$ and P$3$ executing the same

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

clock rate and a CPI of $1\mathrm{.}0.$ P$3$ has a $4\mathrm{.}0$ GHz clock rate and a CPI of $2\mathrm{.}2.$

a$.$ Which Processor has the highest performance expressed in instructions per

second?

b$.$ If the processors each execute a program in $10$ seconds, find the number of

cycles and the number of instructions.