a$)$ Program consists of $5000$ floating point instructions and $25000$ integer instructions. Processor has clock rate of $2$ GHz$.$ Floating point instructions take $6$ cycles and integer instructions take $2$ cycles. How long does it take for this processor to run this program? And calculate the average CPI

b$)$ Which of the following improvement options in the processor will take lesser time to execute the program:

If $($i$)$ The CPI of floating point instruction is reduced to $4$ and the integer takes the same time as the base

or $($ii$)$ The CPI of the 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$?$