The Production Possibilities Frontier (PPF) is a graph which displays the possible combinations of goods and services that can be produced by an economy given the resources and technology that they have.
1. An island nation grows bananas and pineapples. Some land is better suited for growing bananas, while other land is better suited for growing pineapples. The table below shows some of their production possibilities.
Draw the Production Possibilities Frontier for this nation, labeling each of the points on the table.
Here is how I drew it:
Don't worry if you switched the axes, that's totally ok. But notice that this PPF follows the Law of Diminishing Marginal Returns.
2. Referring to the same table above, what is the trade-off this island nation faces if they want to go from producing 50 thousand to 100 thousand pounds of bananas? What about going from 100 thousand to 150 thousand pounds?
When the island nation is producing 50 thousand pounds of bananas, it means they are able to produce 275 thousand pounds of pineapples. That is what the table shows. If they increase banana production to 100 thousand pounds, they will have to reduce their pineapple production to 225 thousand pounds because that extra banana production will take up those resources. So, the island nation gives up 50 thousand pounds of pineapples (the difference between 275 and 225) to get the additional 50 thousand pounds of bananas.
But when they go from 100 thousand pounds of bananas to 150 thousand pounds, the trade-off has changed. That step costs them 100 thousand pounds of pineapples (going from 225 down to 125 on the table). That means the opportunity cost of bananas is increasing, because we have to give up more pineapples to get another 50 thousand pounds of bananas.
When you have diminishing marginal returns, you also have increasing opportunity costs.
Each of us has two ways to get what we want. We can produce it ourselves, or we can trade for it. Trade is the exchange of goods or services for other goods or services. Of course, how much we will have to trade with will depend on how much we are able to produce. Someone has the Absolute Advantage in trade if they are able to produce more of something than someone else.
In a free market, two people will only agree to a trade if they both find it beneficial. Mutually beneficial trades are driven by Comparative Advantage, or the ability for someone to produce something at a lower opportunity cost than someone else.
1. Use the chart below to answer each question.
Which country has an absolute advantage in cloth? Which one has an absolute advantage in wine?
Absolute Advantage goes to the country who can produce the most. If England produces only cloth, they can produce 150 units of it compared to Portugal's 175. That gives Portugal the absolute advantage in cloth.
Likewise, if each country focuses on their efforts on producing wine, England can produce 125 units while Portugal can produce 200 units. Again, the absolute advantage goes to Portugal.
2. What is the opportunity cost of producing cloth in England and in Portugal?
The opportunity cost of cloth in England is found by:
(125 wine)/(150 cloth) = 0.8333 wine per cloth
The opportunity cost of cloth in Portugal is found by:
(200 wine) / (175 cloth) = 1.1429 wine per cloth
Another way to think about it is this:
In England, they have the choice between 125 wine and 150 cloth. So, we could say...
The opportunity cost of producing 150 cloth is 125 wine.
But how much is it per cloth? Well, to find out we just divide both numbers by 150:
The opportunity cost of producing (150/150) cloth is (125/150) wine.
That gives...
The opportunity cost of producing 1 cloth is 0.8333 wine.
Our math just finds the trade-off each country faces.
3. Which country has a comparative advantage in cloth? Which one has a comparative advantage in wine?
The opportunity cost of cloth in England was:
(125 wine)/(150 cloth) = 0.8333 wine per cloth
The opportunity cost of cloth in Portugal was:
(200 wine) / (175 cloth) = 1.1429 wine per cloth
Since 0.8333 < 1.1429, England has the comparative advantage in cloth.
And while it is always fun to do more math, it is unnecessary. Once we know England has the comparative advantage in cloth, we know that Portugal has the comparative advantage in wine.
The logic of comparative advantage applies not just to individuals, but also to entire nations. When nations specialize in the production of goods and services for which they have a comparative advantage, they will be able to reach points beyond their production possibilities frontier.
The gains from trade and the division of labor are huge! If you take something as simple as a sandwich, specialization along the entire production process has driven costs to a small fraction of what they would be if you tried to do it all by yourself. Check out this short video: How to make a $1500 Sandwich in Only 6 Months. The big takeaway: specialization and trade not only make sandwiches cheaper, they make them taste better too!
Ever since humans banded together in cities and nations, they began to place restrictions on trade with other cities and nations. A tariff is a tax on imports, which are goods and services produced beyond our borders. Tariffs were and remain a popular policy which reduces imports, but quotas - a direct limit on the quantity of a good or service that can be imported - is also commonly used.
1. Initially, the Pagong and Tagi tribes are not trading with each other. Each tribe devotes half of their resources to catching fish, and the other half to the collection of coconuts. What are the islandwide gains from trade if each tribe specialized and traded with the other?
Step 1: Before Trade
Each tribe is splitting their resources between fish and coconuts, so each tribe gets half of their maximum production for each.
Total Fish: 125 from Pagong + 87.5 from Tagi = 212.5 fish
Total Coconuts: 100 from Pagong + 112.5 from Tagi = 212.5 coconuts
Step 2: Specialization
The opportunity of fish at Pagong is:
(200 coconuts) / (250 fish) = 0.8 coconuts per fish
The opportunity cost of fish at Tagi is:
(225 coconuts) / (175 fish) = 1.2857 coconuts per fish
Since Pagong has the lower opportunity cost, they should specialize in catching fish, and Tagi should then specialize in collecting coconuts.
Step 3: After Trade
Each tribe specializes in the production where they have a comparative advantage. Since the tribes split absolute advantage, they will go all in, producing only that thing.
Total Fish: 250 from Pagong + 0 from Tagi = 250 fish
Total Coconuts: 0 from Pagong + 225 from Tagi = 225 coconuts
Step 4: Gains from Trade
Our After-Trade totals show a gain of 37.5 fish and 12.5 coconuts!
Deeper Thoughts and Extra Practice
Example Question
Use the table below to answer the question.
Lemons Limes
Country A 34 60
Country B 67 31
Country A and B both start by splitting their efforts equally between lemons and limes and trading nothing with each other, meaning that they each produce exactly half of the quantities listed in the table.
What would be the total worldwide gains in lemons and limes if both countries decided to specialize and trade?
Do not round your answer.