Consider three processors P$1,$ P$2,$ and P$3$ with the following specs:

$$ P$1$: Clock rate of $3\mathrm{.}2$ GHz$,$ CPI of $1\mathrm{.}6$

$$ P$2$: Clock rate of $2\mathrm{.}7$ GHz$,$ CPI of $1\mathrm{.}1$

$$ P$3$: Clock rate of $4\mathrm{.}3$ GHz$,$ CPI of $2\mathrm{.}5$

$1.$ Which processor has the highest instruction per second $($IPS$)$ performance?