Two different compilers $(Cl$ and $C2)$ are being tested for a $1GHz$ machine with three different classes of instructions: Class A$,$ Class B$,$ and Class C$.$ The CPI $($clock cycles per instruction$)$ and the total number of instructions of each class are given in the table below.

$\backslash$table$[[\backslash$table$[[$Instruction$],[$Classes$]],\backslash$table$[[$CPI$],[($Cycles Per Instruction$)]],\backslash$table$[[$Instruction Count of C$1],[($in billions$)]],\backslash$table$[[$Instruction Count of C$2],[($in billions$)]]],[A,1,2,1],[B,2,3,2],[C,3,2,5]]$

What is the MIPS of complier $2?$