Questions refer to the production function

a) Draw the production function with N on the x-axis

b) Define the Marginal Product of Labor=MPN (i.e. provide an intuitive definition of the marginal product of labor) and illustrate it on the diagram above (i.e. you want to show that MPN can also be draw directly on the production function)

c) Why does the production function become flatter as the input rises? Explain. i.e. you want to explain why the production function has diminishing returns to labor.

d) Draw the MPN curve on a separate diagram [i.e. do not draw it on the diagram in part a]. What happens to MPN as N falls? Just state: RISE, FALLS, or STAYS UNCHANGED

e) Suppose that the production function of a Firm is NOT Cobb Douglas, but instead looks like this:Y = 0.2 x (K + N^0.5)

Use calculus to derive the MPN