Practice Problem (continued): 1 1 The firm's production function is Y = 2 K3 N3, where Y is output, K is capital, 2 is total factor productivity, and N is labor. (f) What is the equation for the firm's profit function? (g) Write down the firm's optimization problem. (h) Maximize profits to get the firm's optimal labor demand function. That is, solve for labor demand as a function of given exogenous variables and parameters). (i) How is the labor demand function, Nd, change when (a) w increases? (b) 2 increases? (c) K increases