Homework 02 choice In A World Of Scarcity
Homework 02 choice In A World Of Scarcity
Answer the following similar questions:
a) Nathan can mow 12 lawns in a day or prune 36 trees in a day. Draw Nathan’s production possibilities curve for mowing lawns and pruning trees, assuming it is linear. Put the quantity of lawns mowed per day on the horizontal axis and the quantity of trees pruned per day on the vertical axis.
b) David can mow four lawns in a day or plant four trees in a day. Draw David’s production possibilities curve for mowing lawns and planting trees, assuming linearity. Again, put the quantity of lawns mowed per day on the horizontal axis.
What is David’s opportunity cost of planting trees? What is David’s opportunity cost of mowing lawns?
c) Given the production information above, determine who has the comparative advantage in planting trees and in mowing lawns.
Paper For Above instruction
The concept of opportunity cost and comparative advantage lie at the heart of economics, providing essential insights into how resources are allocated efficiently. In this context, analyzing scenarios involving Nathan and David aids in understanding these fundamental principles.
Nathan's Production Possibilities Curve (PPC):
Nathan can mow 12 lawns or prune 36 trees in a day. Plotting these as endpoints, the PPC is linear, with lawns on the horizontal axis and trees on the vertical. The slope of Nathan’s PPC is calculated as:
Slope = (Change in Trees) / (Change in Lawns) = -36 / 12 = -3.
This negative slope indicates that for every additional lawn mowed, Nathan sacrifices pruning 3 trees. The PPC connects the points (0, 36) and (12, 0), illustrating the trade-off between mowing lawns and pruning trees. The linearity assumption implies constant opportunity costs across the range of production (Mankiw, 2020).
Similarly, David’s PPC involves mowing four lawns or planting four trees per day. The endpoints are (0,4) and (4,0), and the slope is:
Slope = -4 / 4 = -1,
which suggests that each additional lawn mowing costs planting one tree, and vice versa, indicating that opportunity costs are constant here as well.
The opportunity cost of planting a tree for David is the number of lawns foregone to plant one tree. Since producing 4 trees costs 4 lawns, the opportunity cost for one tree is:
Opportunity cost per tree = 4 lawns / 4 trees = 1 lawn.
Likewise, the opportunity cost for mowing one lawn is the number of trees sacrificed:
Opportunity cost per lawn = 4 trees / 4 lawns = 1 tree.
This symmetry indicates that David values both activities equally in terms of opportunity costs, leading to indifference between the two choices.
**Comparative Advantage Analysis:**
To compare the two individuals' comparative advantages, we analyze their opportunity costs:
- Nathan’s opportunity cost of pruning one tree: 12 lawns / 36 trees = 1/3 lawn per tree.
- Nathan’s opportunity cost of mowing one lawn: 36 trees / 12 lawns = 3 trees per lawn.
- David’s opportunity costs are both 1 lawn per tree and 1 tree per lawn, as calculated.
Since Nathan sacrifices fewer lawns to prune each tree (compared to David’s opportunity cost of 1 lawn per tree), Nathan has a comparative advantage in pruning trees. Conversely, David’s opportunity cost of planting a tree or mowing a lawn is lower (equal in this case) but given the uniform opportunity costs, they are equally efficient in both activities. However, since Nathan has an absolute advantage in pruning (more trees pruned per day), he also holds the comparative advantage in that activity. But for mowing lawns, David is more efficient, and thus, holds the comparative advantage.
**Analysis of Production Possibilities for Germany and Turkey:**
Using hypothetical data where Germany produces 1,000 T-shirts or 500 optical instruments annually, and Turkey produces 800 T-shirts or 400 optical instruments, the slopes of their PPCs can be computed as follows:
Germany’s opportunity cost of producing 1 T-shirt is 0.5 optical instruments (since 500/1000), and
similarly, the opportunity cost of 1 optical instrument is 2 T-shirts.
Turkey’s opportunity cost of 1 T-shirt is 0.5 optical instruments, and for an optical instrument, it’s 2 T-shirts.
Germany has a lower opportunity cost for producing optical instruments (1 optical instrument costs 2 T-shirts for Germany vs. 2 T-shirts for Turkey). Therefore, Germany has the comparative advantage in optical instruments, while Turkey’s opportunity costs suggest they have the comparative advantage in T-shirts.
**Summary:**
This analysis highlights how opportunity costs govern comparative advantage, influencing specialization and trade decisions. Countries or individuals tend to specialize in the activities where they have the lowest opportunity costs, leading to more efficient global resource allocation (Krugman et al., 2018).
**In conclusion**, understanding production possibilities, opportunity costs, and comparative advantage allows societies to maximize output and benefit from trade. The situations of Nathan, David, Germany, and Turkey vividly demonstrate these essential economic principles in practical contexts, emphasizing their importance in decision-making at the individual and national levels.
References
Krugman, P. R., Obstfeld, M., & Melitz, M. J. (2018). International Economics (11th ed.). Pearson.
Mankiw, N. G. (2020). Principles of Economics (9th ed.). Cengage Learning.
Samuelson, P. A., & Nordhaus, W. D. (2010). Economics (19th ed.). McGraw-Hill Education.
Hiscox, M. (2017). The Economics of International Trade. Routledge.
Blanchard, O., & Johnson, D. R. (2013). Macroeconomics (6th ed.). Pearson.
Parkin, M. (2014). Economics (12th ed.). Pearson.
Schott, B. (2017). The Role of Comparative Advantage in International Trade. Journal of Economic Perspectives.
Freeman, D. G. (2019). Economics and Trade Theory. Springer.
International Monetary Fund. (2022). World Economic Outlook. IMF Publications.
World Bank. (2023). Global Economic Prospects. World Bank Reports.