The demand curve is downward-sloping because marginal productivity falls as more workers are employed, while the supply curve is upward-sloping since an increase in the wage increases the opportunity cost of leisure Now suppose that technological change occurs that is labor complementary, all else constant. 1.) Using the line drawing tool, show the impact of this event. Label your curve appropriately. Carefully follow the instructions above and only draw the required object. According to the graph, the consequence of the change in technology is a higher market wage and a lower level of employment.

QUESTION THREE: PRODUCER THEORY 1. Suppose the production function for automobiles is given by q = kl - 0.8k² - 0.21² where q represents the annual quantity of bicycles produced, k represents annual capital input, and I represents annual labor input. a) 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 cars are produced at that point? b) Again, assuming k=10, graph the MP curve. At what level of labor input does MP₁ = 0 c) Suppose capital inputs were increased to k-20. How would your answer to parts (a) and (b) change? d) Does the production of automobiles exhibit constant, increasing, or decreasing returns to scale? 2. Supposing that the firm in (1) is a competitive firm and its production function is y = 10 + (x - 1,000)¹/3. The price of the input x is w = 1. (a) Show that the firm's total cost curve is C(y) = 1,000 + (-10)³. (b) Show that the minimum of the marginal cost curve…

Table 19.15 shows how the average costs of production for semiconductors (the "chips" in computer memories) change as the quantity of semiconductors built at that factory increases. a. Based on these data, sketch a curve with quantity produced on the horizontal axis and average cost of production on the vertical axis. How does the curve illustrate economies of scale? b. If the equilibrium quantity of semiconductors demanded is 90,000, can this economy take full advantage of economies of scale? What about if quantity demanded is 70,000 semiconductors? 50,000 semiconductors? 30,000 semiconductors? c. Explain how international trade could make it possible for even a small economy to take full advantage of economies of scale, while also benefiting from competition and the variety offered by several producers. Quantity of Semiconductors 10,000 20,000 30,000 40,000 100,000 Table 19.15 Average Total Cost $8 each $5 each $3 each $2 each $2 each