Could you please help me with all of these questions?

Consider a static (one-period) economy. The technology that transforms labor N into output Y is given by Y - zN.K' a with 0 > 1 and A > 0 are constants. Individuals are endowed with 1 unit of time. 1. Write down the firm's maximization problem and find the optimal labor demand of the firm as a function of w, K, a, and z. Denote the labor demand by Nd. 2. Assuming that z = 1.5, K = 20, and a - 0.6, compute Nd when w = 1. Show all intermediate steps for partial credit. 3. Now plot the labor demand, making sure to label your axis and being as precise as possible (for example, show the point where w = 1 computed before). Feel free to draw it by hand or use Excel to do this