Can you help with it, please?

Thanks,

Exercise 1 ( 30 points) Consider the following one-period model. Suppose that Cookie Monster's production function is given by Y = 2VKNd with z = 16 and K = 1. Suppose also that w = 1. (a) Write his profit maximization problem, find optimal labor demand No* and compute the maximized profit 7. (b) Suppose that Cookie Monster's utility function is given by u(c, l) = c + 4VI + 2. Given w and 7 found in part (a), h = 16 and G - T - 2, write his utility maxi- mization problem and find his optimal consumption bundle c* and I*. (c) Write the production possibility frontier as a function of I. (d) Would the labor market clear with the labor demand and supply found in parts (a) and (b)? Justify. If not, is w too high or too low? In which direction does the labor market push w? (e) Compute the equilibrium (Hint: You may start from labor market clearing condition then find numerical values for w, Nd, Ns, Y, l, T, C')