A widget manufacturer's production function is specied as y (K,L) = 64K^1/2 * L^1/2 in the short-run, the widget producer fixes it's capital at 400 units.
(a) Derive the rm's marginal product of labor curve.
(b) Derive the rm's average product of labor curve.
(c) If the rm has an output quota of 5,120 widgets, how many laborers must it employ in the short-run to achieve this level of production?