Consider three different processors $P1,P2,$ and $P3$ executing the same instruction set with the clock rates and CPIs given in the following table.

$\backslash$table$[[,$Processor,Clock Rate,CPI$],[$a$.,$P$1,3GHz,1\mathrm{.}5],[$P$2,2\mathrm{.}5GHz,1\mathrm{.}0],[$b$.,4GHz,2\mathrm{.}2,],[$P$3,2GHz,1\mathrm{.}2],[,$P$1,3GHz,0\mathrm{.}8],[,$P$2,4GHz,2\mathrm{.}0]]$

Which processor has the highest performance expressed in instructions per second?

If the processors each execute a program in $10$ seconds, find the number of cycles and the number of instructions.

We are trying to reduce the time by $30\%$ but this leads to an increase of $20\%$ in the CPI. What clock rate should we have to get this time reduction?

For problems below, use the information in the following table.

$\backslash$table$[[$Processor$,$Clock Anate,No$.$ Instructions,Time$],[$a$.,$P$1,3GHz,20\mathrm{.}00E+09,7s$