New ALU implementation technology has made it possible to double the speed of the R$-$format and immediate instructions. What is overall the speedup that can be realized for programs with the instructions statistics shown in the table?

From Amdahl's Law we have Speedup $=\frac{1}{s+(\frac{1-s}{n})}$ where $s$ is the fraction that is unaffected, and $n$ is the factor by which this component can be sped up$.$ Plugging in the values from the table we have Speedup $=\frac{1}{0\mathrm{.}55+(\frac{0\mathrm{.}45}{2})}=1\mathrm{.}29$ or $29\%$ speedup.

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