a$.)$ A Program consists of $5000$ floating point instructions and $25000$ integer instructions. Processor has a clock rate of $2\mathrm{.}0GHZ.$ Floating point instructions take $6$ cycles and integer instructions take $2$ cycle. How long does it for this processor to run the program? And calculate the average CPI. $[3]$

b$.)$ Which of the following improvement options in the processor will take lesser time to execute the program If $($a$)$ the CPI of floating point instruction is reduced to $4$ and the integer takes the same time as the base or $($b$))$ the CPI of integer is reduced to $1$ and the floating point instruction takes the same time as the base. How much faster is the improved machine compared to the base machine?

$[2+2]$