Suppose the production function for widgets is given by
q = kl -0.8k2- 0.2l2,
where q represents the annual quantity
of widgets produced, k represents annual capital input, and l
represents annual labor input.
- Suppose k = 10; graph the total and average productivity of
labor curves. At what level of labor input does this average
productivity reach maximum? How many widgets are produced at that
point?
- Again, assuming that k = 10, graph the MPL curve. At
what level of labor input does MPL = 0?
- Suppose capital inputs were increased to k = 20. How would your
answers to parts (a) and (b) change?
- Does the widget production function exhibit constant,
increasing, or decreasing returns to scale?