Consider two different machines, with two different instruction sets, both of which have a clock rate of $10$ GHz $.$ The following measurements are recorded on the two machines running a given set of benchmark programs:

$\backslash$table$[[$Instruction Type,Instruction Count $($millions$),$Cycles per Instruction$],[($Machine A$),,],[$Arithmetic and logic,$6,3],[$Load and store,$3,4],[$Branch$,2,5],[$Machine$($B$),,],[$Arithmetic and logic,$8,2],[$Load and store,$6,4],[$Branch$,2,6]]$

$($a$)$ Determine the effective CPI, MIPS rate for each machine.

$($b$)$ Comment on the results which machine is better.