Derivation of the RBC Model: This question guides you through the derivation of the RBC model. We assume the following functional forms: C. Y =AKh1 t ttt u(ct) v(1ht)=logct log(1ht) (a) Set up and solve the representative firm's profit maximization problem. (b) Set up and solve the representative household's utility maximization problem, assum- ing perfect foresight