Please answer$/$show work for parts b$-$d in the following question

Question $3$: $(20$ points$)$

For the structure $($three hinged frame$)$ shown below subject to a factored distributed load $2$k$//$ft$,$ it is required to:

Note that all connections are pinned.

$($a$)$ Show that the force in member BC is $20$ kips.

$($b$)$Design member BC as a $2-$angles back$-$to$-$back. Assume Fy $=50$ksi.

$($c$)$ Redesign member BC as a single angle.

$($d$)$ Which of the two designs is more economic?