II. Consider a two-period planning problem given by max fu(co) + Bu(ci) } co,k1,c1,k2 S.t. Co+ ki

II. Consider a two-period planning problem given by max {u(co) + /3u(C1)} co,kl CI Z f (kl) (I (5)k1, where ko is the endowment of capital, total factor productivity z = 1, and f is a Cobb-Douglas production function. l. Formulate the Lagrangian. 2. Find all FOCs and the Euler equation. 3. Find the solution to the planner's problem when u(c) = In c, f (k) = and