1. (20 points) Suppose China and India are considering whether to engage in trade. Here are the production possibilities of the two countries before trade occurs:
Table 1. Production of Wheat or Cotton in China and India.
The Opportunity Costs of producing one product or the other are displayed.
1000’s of XXXXXXXXXXTons of
Wheat Bushels XXXXXXXXXXCotton
Nation Produced XXXXXXXXXXor Produced
China XXXXXXXXXX100 XXXXXXXXXXor XXXXXXXXXX
India XXXXXXXXXX30 or XXXXXXXXXX
a) Which nation has the comparative advantage in producing Wheat? Which nation has the comparative advantage in producing Cotton? Explain how you a
ived at these conclusions.
) Explain the Law of Comparative Advantage, and its application to trading relationships between any two nations. In the example above, if the two nations decide to engage in mutually beneficial trade, which nation should specialize in producing Wheat and which nation should specialize in producing Cotton, based on the Law of Comparative Advantage. Why?
c) Suppose a trade proposal is made to exchange 1 thousand Bushels of Wheat for 1.2 tons of Cotton. Would these terms-of-trade (1 Wheat : 1.20 Cotton ) be acceptable to, and mutually beneficial for both China and India as trading partners? Why or why not?
d) What are the “payoffs” from open trade? What are some of the limitations associated with open trade?
2. (10 points) Suppose Japan and Taiwan are trading, and cu
encies must be exchanged as goods/services are imported and exported between the two nations. The new Taiwan Dollar (TWD) is the cu
ency of Taiwan, and the Yen (¥) is the cu
ency of Japan.
Are the following statements co
ect or inco
ect? Why or why not?
a) “If Japan is importing an increasing amount of goods from Taiwan, these imports (produced in Taiwan and shipped to Japan) create an increased demand for new TWD’s in the Cu
ency Exchange Market for TWD’s.”
) “If Taiwan is importing an increasing amount of goods produced in Japan, these imports (produced in Japan and shipped to Taiwan) create an increased supply of Yen (¥) in the Cu
ency Exchange Market for Yen (¥).”
c) “If Japan is exporting an increasing amount of its goods to Taiwan, the rise in exports from Japan to Taiwan creates an increased supply of new TWD’s in the Cu
ency Exchange Market for TWD’s.”
3. (10 points) You are asked to analyze the Short Run Production Function for a firm. Please answer the following questions with complete explanations.
a) Explain the logical relationships that exist between Total Product (Q), Marginal Product (MP = ΔQ/ΔL) and Average Product (AP=Q/L) in the short run. What resource condition determines that the Short Run Production Function is appropriate for investigating input-to-output relationships for a firm?
) What are the three stages of production in the short run? Which stages are not considered to be economically rational, and why? Which stage is considered rational, and why? In your answer, it is necessary to identify the boundary points that identify the borderlines between the three stages of production.
4. (10 points) Finally, you asked to analyze the Long Run Production Function for a firm. Please answer the following questions with complete explanations.
a) What condition determines that we should use the Long Run Production Function for investigating input-to-output relationships for a firm?
) What are three possible scenarios for “returns to scale” in long run production? How do the average productivity patterns in each phase of these returns-to-scale scenarios influence the long run average total cost of production as the firm’s output increases? Why?
c) In long run production, using isoquant-isocost analysis, what marginal condition must be true concerning the MPL per $ of Labor Cost and the MPK per $ of Capital Cost along the optimal expansion path for production? When this marginal condition is met, what is true about the total cost of production? Why would this result be of interest to a rational production manager?
If needed, use graphs as needed (all axes and functions completely labeled) to accompany your written analyses.