$(15$ points$)$ Draw a graph of p $($y$-$axis$)$ in terms of speedup $($x$-$axis$)$ for f $=100$ and f $=900.$ What is the shape of the lines and why?

$3)(20$ points$)$ Repeat problem $1$ but find the speedup for when p$\%$ is the percentage of time the component runs on the machine after the enhancement.

$4)(15$ points$)$ Upgrading from a CISC to a RISC machine decreases the cycles per instruction by $20\%$ with a new clock rate that is $35\%$ faster. What is the speedup if no additional instructions are needed? What is the maximum increase percentage in instruction count to achieve a speedup of $1\mathrm{.}35?$ What is the maximum increase percentage in instruction count to achieve any speedup?

$5)(30$ pts$)$ If you need to improve the performance of a research machine and you are aware that the distribution of the processing time is: ALU $25\%,$ Graphics: $30\%,$ Memory Access: $35\%,$ Hard Drive Access: $10\%.$ The following options for improvement are available:

i$)$ Upgrade the ALU which will double the ALU speed.

ii$)$ Replacethegraphicscardwithanimprovementof$\%50.$

iii$)$ Upgrade the memory from $2\mathrm{.}6$ GHz to $3\mathrm{.}3$ GHz$.$

iv$)$ Upgrade from old magnetic drives to solid state drives which improves drive

performance $4$ times.

What is the best to worst upgrade to choose from and what is the expected system speed up with each improvement?

What is the expected speedup if all upgrades are implemented?