Suppose that a firm's production function is described by Q = 60L - L^2 where Q measures units of output and L is the number of labor hours. Suppose that output sells for $2 per unit and the cost of labor is MCL = $16 per hour.
a) How many hours of labor should the firm hire?
b) How much output should it produce?
c) How much profit would the firm get if choosing optimally?