$1.(35$ points$)$ The questions below refer to the $\backslash (\backslash$mathrm$\{$Fe$\}^\{-\}\backslash$mathrm$\{$Fe$\}\_\{3\}\backslash$mathrm$\{$C$\}\backslash )$ phase diagram below

For an alloy with a composition of $\backslash (1\mathrm{.}0\backslash$mathrm$\{$wt$\}\backslash \%\backslash$mathrm$\{$C$\}\backslash )$ answer the following questions:

$($a$)$ At $\backslash (950^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ),($j$)$ what phase$($s$)$ is $($are$)$ present, $($ii$)$ what is $($are$)$ the approximate composition$($s$)$ of each phase, and $($iii$)$ what is $($are$)$ the mass fraction$($s$)$ of the phase$($s$)$ present? Use proper units for full credit.

$($b$)$ Just above the eutectoid temperature, $($i$)$ what phase$($s$)$ is $($are$)$ present, $($ii$)$ what is $($are$)$ the approximate composition$($s$)$ of each phase, and $($iii$)$ what is $($are$)$ the mass fraction$($s$)$ of the phase$($s$)$ present?

$($c$)$ Just below the eutectoid temperature, $($i$)$ what phase$($s$)$ is $($are$)$ present, $($ii$)$ what is $($are$)$ the approximate composition$($s$)$ of each phase, $($iii$)$ what is $($are$)$ the mass fraction$($s$)$ of the phase$($s$)$ present, $($iv$).$ what microconstituent$($s$)$ is $($are$)$ present, $($v$)$ what is $($are$)$ the mass fraction$($s$)$ of the microconstituent$($s$)$ present?