Problem $2$: $(6$ pts$,2$ pts each sub$-$part$)$

Assume a program requires the execution of $90{10}^{6}FP($floating point$)$ instructions, $120\frac{{10}^6}{\text{I}}NT($integer$)$instructions$,80{10}^6$Loa$\frac{d}{?}$ Store $($L$/$S$)$ instructions and $20{10}^{{?}^{{?}^{?}}}6$branch instructions. The CPI for each type of instruction is $2,2,3$ and $2,$ respectively. Assume that the processor has a $3GHz$ clock rate.

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

b$)$ By how much must we improve the CPI of L$/$S instruction if we want the program to run two times faster?

c$)$ By how much is the execution time of the program improved if the CPI of INT and FP instructions are

reduced by $30\%$ and the CPI of L$/$S and Branch is reduced by $20\%?$

Clarification: you are asked to improve the CPI of one category of commands every time with the goal to make

the WHOLE program run two times faster. You may find that one or more of these cases is impossible to

implement, or you may be able to identify improvement for all the above cases.