$(50\%)$ Consider the following two machines $A$&$B$ :

a$.$ Machine A:

$\backslash$table$[[$Instruction Type,Instruction Count $($millions$),$Cycles Per Instruction$],[$Arithmetic$/$Logic$,7,1],[$Load and Store,$4,1],[$Branch$,3,3],[$Others$,1,4]]$

b$.$ Machine B:

$\backslash$table$[[$Instruction Type,Instruction Count $($millions$),$Cycles Per Instruction$],[$Arithmetic$/$Logic$,6,1],[$Load and Store,$3,2],[$Branch$,2,2],[$Others$,4,3]]$

c$.(20\%)$ What is the relative CPI of the two machines? Show your work.

d$.(20\%)$ Assuming that we have a clock rate of $1Ghz$ what is the effective MIPS rate of the two machines? Show your work.

e$.(10\%)$ Given the results from questions c and d$,$ which would you choose? Explain