Assume a program requires the execution of $50$E$6$ floating$-$point $($FP$)$ instructions and $110$E$6$ INT $($integer$)$ instructions, $80$E$6$ L$/$S $($load$/$store$)$ instructions, and $16$E$6$ branch instructions. The CPI for each type of instruction is $1,1,4,$ and $2$ respectively. Assume that the processor has a $2\mathrm{.}0$ GHz clock rate.

By how much must we improve the SPI of the FP instructions if we want the program to run two times faster?