Consider a computer running a program that takes $250$ s$.$

$(80$ s spent on floating$-$point, $100$ s on load$/$store$,40$ s on branch$/$jump$,$ and the rest on other operations$).$

a$)$ What would the overall speedup be$,$ if we can cut the execution time of ONLY floating point ops by $50\%?$

b$)$ Could you possibly reduce the total time by $20\%,$ just by speeding up branch$/$jump$?$ c$)$ We can afford to buy better tech and improve performance of any one type $$ floating point, memory, or branch$/$jump $$ by a factor of $2.$ Which one would you choose, and why? And after optimization, suppose I am so impressed I give you funds to make one MORE such improvement; which one would you choose now?

$($Hint: Amdahl$$s Law. Show how much speedup each choice gives.$)$