$)$ A processor chip is used for applications in w

hich $30\%$ of the execution time is spent on

floating$-$point addition, $60\%$ on floating$-$point multiplication, and $10\%$ on floating$-$point division.

For the new model of the processor, the design team has come up with three possible

enhancements, each costing roughly the same in design effort and manufacturing. Which one of

these enhancements will be chosen? Show all your work to get full credit.

$($i$)$ Redesign the floating$-$point adder to make it twice as fast.

$($ii$)$ Redesign the floating$-$point multiplier to make it three times as fast.

$($iii$)$ Redesign the floating$-$point divider to make it ten times as fast.

$($d$)$ A program spends $75\%$ of its time doing multiply instructions and $25\%$ of time on other