$1\mathrm{.}5$ Consider three different processors P$1,$ P$2,$ and P$3$ executing the same instruction set.

P$1$ has a $3\mathrm{.}0$ 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$.$ Calculate the Instructions per second for each:

B$.$ If the processors each execute a program in $10$ seconds, find the number of cycles and the number of instructions.

C$.$ We are trying to reduce the execution time by $30\%,$ but this leads to an increase of $20\%$ in the CPI. What clock rate should we have to get this time reduction?

$($For all but "New CPI" express your answers below using this format: $1\mathrm{.}23$E$+04$ or $1\mathrm{.}23$E$-04)$