A n s w e r s t o t h e S t u d y P l a n P r o b l e m s a n d
A p p l i c a t i o n s
Use the following data to work Problems 1 to 3.
Brazil produces ethanol from sugar, and the
land used to grow sugar can be used to grow
food crops. The table to the right sets out
Brazil’s production possibilities for ethanol and
food crops.
1. a. Draw a graph of Brazil’s PPF and explain
how your graph illustrates scarcity.
Figure 2.1 shows Brazil’s PPF. The
production possibilities frontier indicates
b. If Brazil produces 40 barrels of
ethanol a day, how much food must
it produce to achieve production
e(ciency?
If Brazil produces 40 barrels of ethanol
c. Why does Brazil face a tradeo, on its
PPF?
Brazil faces a tradeo, on its PPF
because Brazil’s resources and
2. a. If Brazil increases ethanol production from 40 barrels per day to 54 barrels
per day, what is the opportunity cost of the additional ethanol?
When Brazil is production e(cient and increases its production of ethanol from 40
barrels per day to 54 barrels per day, it must decrease its production of food crops
b. If Brazil increases food production from 2 tons per day to 3 tons per day,
what is the opportunity cost of the additional food?
When Brazil is production e(cient and increases its production of food crops from
c. What is the relationship between your answers to parts (a) and (b)?
The opportunity costs of an additional barrel of ethanol and the opportunity cost of
an additional ton of food crop are reciprocals of each other. That is, the opportunity
Ethanol
(barrels per
day)
Food crops
(tons per
day)
70 an
d
0
64 an
d
1
54 an
d
2
40 an
3