Part $1.$ CPU Performance and Energy Efficiency Analysis $(50$ points$)$

Instructions:

Using the formulas provided in the course material in Week $1,$ answer the following questions. Show all your work and the steps leading to the final answer. After performing the calculations, provide a brief analysis of what the results indicate about the CPU's performance and energy efficiency.

Q$1.$ CPU Performance Calculation $(10$ points$)$:

Given a CPU with a clock frequency of $3$ GHz and a CPI $($Cycles Per Instruction$)$ of $2\mathrm{.}5,$ calculate the execution time for a program that has $5$ million instructions.

Define the performance of this CPU in terms of instructions per second.

Q$2.$ Clock Period and Frequency Relationship $(10$ points$)$:

If the clock frequency of a CPU is doubled from $2$ GHz to $4$ GHz$,$ explain how this affects the clock period. Calculate the new clock period.

Q$3.$ Energy Efficiency Evaluation $(15$ points$)$:

Consider a CPU t