Dirt diggers(DD) is a firm that excavates roadside ditches for laying drainpipe. Its output follow the production function Q=10L-.L^2, where L denotes labor hours and Q the length of the ditch in meters. The firms hires labor at a wages of $12 per hours and charges P= 3.00 per meter dug> what is profit maximizing quantity of labor and number of meter dug?