$3.(25$ points$)$ The beam in Figure $3$ supports a uniform live load of $\backslash (3\backslash$mathrm$\{$kip$\}/\backslash$mathrm$\{$ft$\}\backslash )$ and a live concentrated load of $5$ kips:

$($i$)$ Draw the influence lines for: $($a$)$ the moment at C $,($b$)$ the vertical reaction at A $,$ and $($c$)$ the vertical reaction at $\backslash ($ B $\backslash ).$

Note: There is a short link at E $($Allows rotation as a hinge connection$).$ Make sure to label values.

$($ii$)$ Determine the maximum moment at C $.$