Given a program with $121$ million instructions, $30\%$ of type A$,40\%$ of type B and $30\%$ of type C$,$ what is the execution time $($in milliseconds$)$ on a machine with a clock frequency of $4\mathrm{.}2$ GHz if CPI$($A$)=2\mathrm{.}9,$ CPI$($B$)=4\mathrm{.}6,$ CPI$($C$)=2\mathrm{.}4?$