Which language is produced by this grammar?
Let's start with the nonterminal $B$. Since all productions of the form $B \to \alpha$ involve only $B$ (and no other nonterminal), we can easily find $L(B) = a^*b$ using Arden's rule. We also have $L(A) = c$. Finally,
$$ L(S) = L(cA) \cup L(bB) = cc + ba^*b. $$