The compound composition for three new cement formulations $($A$,$ B$,$ and C$)$ are given in the table below. Determine the most appropriate ASTM classification $($Type I, II$,$ III, IV$,$ or V$)$ for each. $(6$ pts$)4$a$.$ The compound composition for three new cement formulations $($A$,$ B$,$ and C$)$ are given in the table below. Determine the most appropriate ASTM classification $($Type I, II$,$ III, IV$,$ or V$)$ for each. $(6$ pts$)$

$\backslash$table$[[,$A$,$B$,$C$],[$C$3$S $(\%),40\mathrm{.}9,62\mathrm{.}2,50\mathrm{.}3],[$C$2$S $(\%),35\mathrm{.}2,13\mathrm{.}4,22\mathrm{.}4],[$C$3$A $(\%),12\mathrm{.}5,12\mathrm{.}5,0\mathrm{.}35],[$C$4$AF $(\%),6\mathrm{.}1,6\mathrm{.}1,13\mathrm{.}7],[$Cement Type,,,$],[,,]]$

$\backslash$table$[[,$A$,$B$,$C$],[$C$3$S $(\%),40\mathrm{.}9,62\mathrm{.}2,50\mathrm{.}3],[$C$2$S $(\%),35\mathrm{.}2,13\mathrm{.}4,22\mathrm{.}4],[$C$3$A $(\%),12\mathrm{.}5,12\mathrm{.}5,0\mathrm{.}35],[$C$4$AF $(\%),6\mathrm{.}1,6\mathrm{.}1,13\mathrm{.}7],[$Cement Type,,,$],[,,]]$