To analyze the given scenario, we need to determine both absolute and comparative advantages for both countries in the production of watches and televisions.
Absolute Advantage: A country has an absolute advantage in the production of a good if it can produce more of that good with the same resources than another country.
Comparative Advantage: A country has a comparative advantage in producing a good if it can produce that good at a lower opportunity cost than another country.
Production Possibilities:
-
Country A:
- Maximum Watches: 500
- Maximum Televisions: 200
-
Country B:
- Maximum Watches: 200
- Maximum Televisions: 100
Absolute Advantage:
- Watches: Country A can produce 500 watches, while Country B can only produce 200. Thus, Country A has the absolute advantage in watch production.
- Televisions: Country A can produce 200 televisions, while Country B can produce 100. Thus, Country A also has the absolute advantage in television production.
Comparative Advantage:
Next, we need to calculate the opportunity costs for each country.
Country A's Opportunity Cost:
-
For 1 Watch:
- Must give up \( \frac{200 \text{ televisions}}{500 \text{ watches}} = 0.4 \text{ televisions} \)
-
For 1 Television:
- Must give up \( \frac{500 \text{ watches}}{200 \text{ televisions}} = 2.5 \text{ watches} \)
Country B's Opportunity Cost:
-
For 1 Watch:
- Must give up \( \frac{100 \text{ televisions}}{200 \text{ watches}} = 0.5 \text{ televisions} \)
-
For 1 Television:
- Must give up \( \frac{200 \text{ watches}}{100 \text{ televisions}} = 2 \text{ watches} \)
Comparative Advantage Results:
-
Watches:
- Country A: 0.4 televisions per watch
- Country B: 0.5 televisions per watch
- Conclusion: Country A has a lower opportunity cost for producing watches (0.4 < 0.5), so it has the comparative advantage in watch production.
-
Televisions:
- Country A: 2.5 watches per television
- Country B: 2 watches per television
- Conclusion: Country B has a lower opportunity cost for producing televisions (2 < 2.5), so it has the comparative advantage in television production.
Final Conclusion:
- Country A has the absolute advantage in watch production but also has the comparative advantage in watch production.
- Country B has the absolute advantage in neither but has the comparative advantage in television production.
Thus, the statement that must be true based on this analysis is:
Country A has the absolute advantage and the comparative advantage in watch production.