$($b$)(2$ points$)$ If $1$ billion instructions were executed in total. What is the CPU execution

time?

$($c$)(2$ points$)$ Suppose that through a hardware modification $)B$ could be decreased to

$2$ at the cost of increasing the clock cycle time by $15\%.$ What is the speedup?

$($d$)(4$ points$)$ Suppose that a compiler optimization was able to replace particular pairs

of type A instructions with a single type C instruction. Which of the following would

increase$/$decrease$/$not change?

$($i$)$ Clock cycle time

$($ii$)$ Instruction count

$($iii$)$ CPI

$($iv$)$ MIPS

$($e$)(2$ points$)$ If it were possible to replace $1/2$ of the type A instructions in the manner

described in part $($d$),$ what is the speedup?

$($f$)(2$ points$)$ If a compiler optimization is able to reduce the number of type $C$ instructions

such that a $20\%$ speedup is achieved, by what factor were type C instructions reduced?