- Compare the opportunity costs of petroleum and seafood for both countries.
- Identify that Country A has a lower opportunity cost for petroleum (\(0.5 < 1\)).
- Identify that Country B has a lower opportunity cost for seafood (\(1 < 2\)).
- Conclude that Country A should specialize in petroleum and Country B should specialize in seafood.
- Final answer: \(\boxed{\text{Country A should produce petroleum, and Country B should produce seafood.}}\)
Explanation
- Understanding the Law of Comparative Advantage
The law of comparative advantage states that a country should specialize in producing the good for which it has a lower opportunity cost. The opportunity cost of a good is the amount of another good that must be given up to produce it. By specializing in the production of goods where it has a lower opportunity cost and trading for other goods, both countries can potentially increase their overall consumption and efficiency.
- Calculating Opportunity Costs
We analyze the opportunity costs for each country based on the provided data:
For Country A:
- To produce 16 units of petroleum, it sacrifices 8 units of seafood. The opportunity cost of 1 unit of petroleum is \(\frac{8}{16} = 0.5\) units of seafood.
- To produce 8 units of seafood, it sacrifices 16 units of petroleum. The opportunity cost of 1 unit of seafood is \(\frac{16}{8} = 2\) units of petroleum.
For Country B:
- To produce 8 units of petroleum, it sacrifices 8 units of seafood. The opportunity cost of 1 unit of petroleum is \(\frac{8}{8} = 1\) unit of seafood.
- To produce 8 units of seafood, it sacrifices 8 units of petroleum. The opportunity cost of 1 unit of seafood is \(\frac{8}{8} = 1\) unit of petroleum.
- Determining Specialization and Conclusion
Now we compare the opportunity costs between the two countries:
- For Petroleum: Country A's opportunity cost is \(0.5\) seafood, while Country B's is \(1\) seafood. Since \(0.5 < 1\), Country A has a comparative advantage in producing petroleum.
- For Seafood: Country A's opportunity cost is \(2\) petroleum, while Country B's is \(1\) petroleum. Since \(1 < 2\), Country B has a comparative advantage in producing seafood.
Therefore, Country A should specialize in producing petroleum, and Country B should specialize in producing seafood. This aligns with the final option: Country A should produce petroleum, and Country B should produce seafood.
Examples
Imagine two friends, Alex and Ben, are helping their neighbor with chores: gardening and cleaning. If Alex can clean a room in 30 minutes (taking him away from gardening) while Ben takes 60 minutes to clean a room, Ben might be better at gardening while Alex is more efficient at cleaning. Comparative advantage helps us decide who should focus on which task to finish all chores as quickly as possible. Just like countries, individuals can benefit from specializing in tasks where their 'opportunity cost' of time is lower, leading to better outcomes for everyone involved.