Question $4$ Suppose you have a machine which executes a program consisting of $50\%$ floating

point multiply, $20\%$ floating point divide, and the remaining $30\%$ are from other instructions.

$($a$)$ Management wants the machine to run $3$ times faster. You can make the divide run at most $2$

times faster and the multiply run at most $5$ times faster. Can you meet management$$s goal by

making only one improvement, and which one?

$($b$)$ Suppose that we can improve the floating$-$point instruction performance of machine by a

factor of $15($the same floating$-$point instructions run $15$ times faster on this new machine$).$

What percent of the instructions must be floating point to achieve a Speedup of at least $3?$