(A) Draw a Graph of a Typical Production Function

(a) Draw a graph of a typical production function. Your curve should have the proper shape for a production function that has an increasing marginal productivity range, a diminishing marginal productivity range, and a diminishing absolute productivity range. Indicate with dashed vertical lines the level of variable input (labor) at which the transition is made from increasing to diminishing marginal productivity, and the level of variable input (labor) at which the transition is made from diminishing marginal productivity to diminishing absolute productivity.
(b) Directly beneath your production function diagram, draw a diagram with average product and marginal product curves. The horizontal axis of this diagram should be aligned with and use the same scale as the horizontal axis of your production function diagram. Use the reference lines (dashed lines) you drew on your production function graph to properly locate the appropriate points on your marginal product curve.