Consider the following short run production function (where L = variable input, Q = output):
Q = 6L^2 - 0.4L^3
A) Determine the marginal product function
B) Determine the average product function
C) Find the value of L that maximizes Q
D) Find the value of L at which the marginal product function takes on its maximum value
E) Find the value of L at which the average product function takes on its maximum value