The short-run production function of a profit maximizer firm is given by f(L) = 6L^(2/3) , where L is the amount of labor it uses. The cost per unit of labor is w = 6 and the price per unit of output is p = 3.
1) How many units of labor will the firm hire?
2) How much output will the firm produce?
3) If the firm has no other costs, how much will its total profits be?