Question $4.$ Assume a program requires the execution of $20$ FP instructions, $100$ INT instructions, $902$ Load$/$Store $($L$/$S$)$ instructions, and $182$ branch instructions. The CPI

$($Cycles Per Instruction$)$ for each type of instruction is $1\mathrm{.}5,1,3,$ and $2,$ respectively. Assume that the processor has a $2\mathrm{.}5GHz$ clock rate.

a$.$ How many clock cycles does this program require in total?

b$.$ How much CPU time is required to execute this program?

c$.$ By how much must we improve the CPI of FP instructions if we want the program to run two times faster?

d$.$ By how much must we improve the CPI of L$/$S instructions if we want the program to run two times faster?

e$.$ By how much is the execution time of the program improved if the CPI of INT and FP instructions is reduced by $30\%$ and the CPI of L$/$S and Branch is reduced by $20\%?$

f$.$ What is the average CPI for this program?