American and Japanese workers can each produce 4 cars a year. An American worker can produce 10 tons of grain a year, whereas a Japanese worker can produce 5 tons of grain a year. To keep things simple, assume that each country has 100 million workers.
a) For this situation, construct a table analogous to the table in Lecture Note 2 (or analogous to the table in Mankiw's).
b) Graph the production possibilities frontier of the American and Japanese economies.
c) For the U.S., what is the opportunity cost of a car? Of grain? For Japan, what is the opportunity cost of a car? Of grain?
d) Which country has an absolute advantage in producing cars? In grain?
e) Which country has a comparative advantage in producing cars? Grain?
f) Without trade, half of each country's workers produce cars and half produce grain. What quantities of cars and grain does each country produce?
g) Starting from a position without trade, explain which kind of trade makes each country better off.