Given an instruction set whose instructions can be divided into $4$ classes according to their clock

cycles per instruction $($CPI$).$ Denote these $4$ classes as class A$,$ B$,$ C$,$ and D$.$ Consider two differen

implementations of the same instruction set architecture.

$$ Implementation P$1$ has a clock rate of $2\mathrm{.}5$ GHz and CPIs of $1,2,3,$ and $3.$

$$ Implementation P$2$ has a clock rate of $3$ GHz and CPIs of $2,2,2,$ and $2.$

Answer the following questions.

$($a$)$ Given a program with a dynamic instruction count of $1\mathrm{.}0$E$6$ instructions that are divided

into classes as follows: $10\%$ class A$,20\%$ class B$,50\%$ class C$,$ and $20\%$ class D$,$ which

implementation is faster?

$($b$)$ What is the global CPI for each implementation?

$($c$)$ Find the clock cycles required in both implementations.