Consider four different processors P$1,$ P$2,$ P$3,$ and P$4$ 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 $1\mathrm{.}25$; P$3$ has a $4\mathrm{.}0$ GHz clock rate and a CPI of $2\mathrm{.}2$; P$4$ has $2\mathrm{.}0$ GHz clock rate and a CPI of $2\mathrm{.}75.$

a$.$ Assume that processor P$2$ executes a benchmark program in $10$ seconds. Using paper and pencil, calculate the number of cycles required to execute the program and the number of instructions executed in the program. Choose your answers from the following values: $10*10^9$ ; $20*10^9$ ; $18\mathrm{.}18*10^9$ ; $30*10^9$ ; $7\mathrm{.}27*10^9$ ; $10*10^9$ ; $12\mathrm{.}5*10^9$ ; $15*10^9$ ; $32*10^9$ ; $32\mathrm{.}5*10^9$ ; $21\mathrm{.}5*10^9$ ; $24*10^9$ ; If the calculated answer is not found, write your answer in the same format please.

Cycles $($P$2)=$ Blank $1$

No$.$ instructions $($P$2)=$ Blank $2$

b$.$ We are trying to reduce the execution time by $25\%,$ but this leads to an increase of $20\%$ in the CPI. What is the new CPI for the processor P$2?$ And if P$2$executes a $20*10^9$ instructions program, what clock rate $($in GHz$)$ should we have to get this time reduction? Choose your answers from the following values: $1\mathrm{.}8$ ; $7\mathrm{.}04$ ; $2\mathrm{.}64$ ; $1\mathrm{.}5$ ; $2\mathrm{.}4$ ; $4\mathrm{.}8$ ; $4\mathrm{.}0$ ; $3\mathrm{.}3$; $6\mathrm{.}4$ ; $5\mathrm{.}0$ ; $3\mathrm{.}5$ ; $4\mathrm{.}5$ ; $2\mathrm{.}8$ ; $4\mathrm{.}6$ ; $8\mathrm{.}8$; $2\mathrm{.}25$ ; $3\mathrm{.}0.$ If the calculated answer is not found, write your answer in the same format please.

CPInew $($P$2)=$ Blank $3$

Clock rate $($P$2)=$ Blank $4$ GHz