1. Suppose the production function for widgets is given by (1x4 = 4 points) q = kl - 0. 8k2 - 0.212 Where q represents the annual quantity of widgets produced, k represents annual capital input, and I represents annual labor input (1x4-4 points) 1 1. Suppose k = 10; graph the total and average productivity of labor curves. At what level of labor input does this average productivity reach a maximum? How many widgets are produced at that point? 12. Again, assuming k = 10, graph the MP, curve. At what level of labor input does MP, = 0? What is the corresponding level of output? 13. Suppose capital inputs were increased to k = 20. How would your answers to parts (a) and (b) change? What do the new total, average and marginal productivity curves look like 14. Does the production function exhibit constant, increasing, or decreasing returns to scale