Consider the beam and loading shown in the figure below. The beam has a flexural rigidity of $EI$ over AC and $2EI$ over CB$.$

If $EI=5\mathrm{.}7MN{m}^2,L=4\mathrm{.}3m$ and $M=91kNm,$ determine:

$($a$)$ Reaction force at support A$.$ Show direction by giving answer as positive for up$,$ or negative for down.

$($b$)$ reaction moment at support B$.$

$($c$)$ deflection at C$.$