Dirt Digger (DD) is a firm that excavates roadside ditches for laying drainpipe. Its output follows the production function: Q=10L-0.1L*2, where L denotes labor hour and Q the length of the ditch in meters. The firm hires labor at a wage of N$12 per hour and charges a price of N$2 per meter dug.
a) How many workers should DD employ to maximize profit?
b)Determine DD's profit maximization level of output.
c) What will be DD's hourly profit?