Problem #$1(10$ Points$)$: Compute the Clocks Per Instruction $($CPI$)$ of a machine which has an average CPI for ALU operations of $1\mathrm{.}1,$ a CPI for branches$/$jumps of $3\mathrm{.}0,$ and a hit rate of $60\%$ in the cache. A hit in the cache takes $1$ cycle pipelined and a cache miss takes $120$ cycles. Assume $22\%$ of instructions are loads, $12\%$ are stores, $20\%$ are branches$/$jumps and the balance are ALU operations.

Problem #$2(10$ Points$)$: You are a processor designer and have to make a decision between building a processor which executes at $1GHz$ and has an average $\frac{C}{P}$I $1\mathrm{.}2$ and a processor which executes at $2GHz,$ but has a CPI of $2.$ Which is better to build and why?