Can you please find the solution for all 5 questions?

1 One-Period Model 1. i: a Suppose that Cookie Monster's pro duction function is given by zF (K, Nd) = z V'KNd, withz = 16 and K = 115 Suppose also that w = 1. Write his prot maximization problem, find op timal labor demand N d'\" and compute the maxi- mized prot 41:\". 2. 'k a Suppose that Cookie Monster's utility function is given by u(C, I)=C+4VI+2. Given to and if\" found in item 1, h = 16 and G = T = 2, write his utility maximization problem and nd his optimal consumption bundle C* and i*. 3. 'k a Write the production possibility fron tier as a function of I. 4. id: m Would the labor market clear with the labor demand and supply found in items 1 and 2? Justify. If not, is to too high or too low? In which direction does the labor market push w? 5. i 1k it n Compute the equilibrium (Hint: You may start from labor market clearing condition then nd numerical values for m, N d, N\