Alice designs a $2GHz$ processor where two important programs, A and $B,$ take one second each to execute. Each program has a CPI of $1\mathrm{.}5.$ Elena is tasked with designing the company's next$-$generation processor. She comes up with an idea that improves the CPI of A to $1\mathrm{.}1$ and the CPI of B to $1\mathrm{.}4.$ But the idea is so complex that the processor can only be implemented with a cycle time of $0\mathrm{.}6ns.$ Does Elena's new processor out$-$perform Alice's processor on program A$?$ How about on program B$?(25$ points$)$