I would like some assistance in the following question please

Consider the following one-period model. Suppose that Cookie Monster's production function is given by Y = zi/KNd with z = 16 and K = ll' Suppose also that w = 1. [a] Write his prot maximization problem, nd optimal labor demand N '1' and compute the maximized prot r. [b] Suppose that Cookie Monster's utility function is given by u(c, I) = c + 41.x! + 2. Given to and it found in part (a), h = 16 and G = T = 2, write his utility maxi- mization problem and nd his optimal consumption bundle c\" and l". [c] Write the production possibility frontier as a function of l. [d] Would the labor market clear with the labor demand and supply found in parts (a) and [b]? Justify. If not, is to 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 nd numerical values for to, N\