N U M E R I C A L P R O B L E M S
1. Nathan can mow four lawns in a day or plant 20 trees in a day.
a. Draw Nathan’s production possibilities curve for mowing lawns and planting trees. Assume the production possibilities curve is linear and put the quantity of lawns mowed per day on the horizontal axis and the quantity of trees planted per day on the vertical axis.
b. What is Nathan’s opportunity cost of planting trees?
c. What is Nathan’s opportunity cost of mowing lawns?
2. David can mow four lawns in a day or plant four trees in a day.
a. Draw David’s production possibilities curve for mowing lawns and planting trees. Again, assume
a linear production possibilities curve and put the quantity of lawns mowed per day on the horizontal axis.
b. What is David’s opportunity cost of planting trees?
c. What is David’s opportunity cost of mowing lawns?
3. Given the production information in problems 1 and 2 above, who has the comparative advantage in planting trees? Mowing lawns?
4. The exhibits below describe the production possibilities for Germany and Turkey.
a. What is the slope of Germany’s production possibilities curve?
b. What is the slope of Turkey’s production possibilities curve?
c. What is the opportunity cost of producing T-shirts in Germany?
d. What is the opportunity cost of producing T-shirts in Turkey?
e. What is the opportunity cost of producing optical instruments in Germany?
f. What is the opportunity cost of producing optical instruments in Turkey?
g. In which good does Germany have a comparative advantage?
h. In which good does Turkey have a comparative advantage?
5. The nation of Leisureland can produce two goods, bicycles and bowling balls. The western region of Leisureland can, if it devotes all its resources to bicycle production, produce 100 bicycles per month. Alternatively, it could devote all its resources to bowling balls and produce 400 per month—or it could produce any combination of bicycles and bowling balls lying on a straight line between these two extremes.
a. Draw a production possibilities curve for western Leisureland (with bicycles on the vertical axis).
b. What it is the opportunity cost of producing an additional bowling ball measured in terms of forgone bicycles in western Leisureland?
c. Suppose that eastern Leisureland can, if it devotes all its resources to the production of bicycles, produce 400. If it devotes all its resources to bowling ball production, though, it can produce only
100. Draw the production possibilities curve for eastern Leisureland (again, assume it is linear and put bicycles on the vertical axis)
d. What is the opportunity cost of producing an additional bowling ball measured in terms of forgone bicycles in eastern Leisureland?
e. Explain the difference in opportunity cost between western and eastern Leisureland. Which region has a comparative advantage in producing bowling balls? Bicycles?
f. Draw the production possibilities curve for Leisureland, one that combines the curves for western and eastern Leisureland.
g. Suppose it is determined that 400 bicycles must be produced. How many bowling balls can be produced?
h. Where will these goods be produced?
6. The table below shows the production possibilities schedule for an economy.
Production Alternatives Capital goods per period Consumer goods per period
A 0 40
B 1 36
C 2 28
D 3 16
E 4 0
a. Putting capital goods per period on the horizontal axis and consumer goods per period on the vertical axis, graph the production possibilities curve for the economy.
b. If the economy is producing at alternative B, what is the opportunity cost to it of producing at alternative C instead?
c. If the economy is producing at alternative C, what is the opportunity cost to it of producing at alternative D instead?
d. Is it possible for this economy to produce 30 units of consumer goods per period while producing 1 unit of capital goods? Would this combination of goods represent efficient or inefficient production? Explain.
e. Which point, B or C, would lead to higher economic growth? Explain your answer.
7. The exhibit below shows the sources of growth in the United States between 1909 and 1929 and between 1950 and 1979, according to a study by Edward Denison.[1] (Note: The sources of economic growth are cumulative and, taken collectively, explain 100% of total growth over the period.)
a. Approximately what percentage of U.S. growth between 1909 and 1929 was due to increases in quantities of factors of production?
b. Approximately what percentage of U.S. growth between 1909 and 1929 was due to increases in quality of factors of production and technological improvement?
