The table shows the total number of ships and planes two countries could each produce if they fully devoted their economic resources to producing one or the other. The data in the table most support which conclusion?

\begin{tabular}{|l|l|l|}
\hline
& \textbf{Number of ships produced per day} & \textbf{Number of planes produced per day} \\
\hline
Country A & 60 & 20 \\
\hline
Country B & 100 & 50 \\
\hline
\end{tabular}

A. Country B has a comparative advantage producing planes.
B. Country A has an absolute advantage producing ships.
C. Country A has an absolute advantage producing planes.
D. Country B has a comparative advantage producing ships.



Answer :

To answer the question, we need to analyze the provided data regarding the production capabilities of Country A and Country B. We will consider both the concepts of opportunity cost and comparative advantage, as well as absolute advantage.

### Step 1: Calculating Opportunity Costs

For Country A:
- Opportunity cost of producing one ship:
[tex]\[ \text{Opportunity Cost}_{\text{Ship}_A} = \frac{\text{Number of planes produced per day by Country A}}{\text{Number of ships produced per day by Country A}} = \frac{20}{60} = 0.333\ (\text{or}\ \frac{1}{3}) \][/tex]
- Opportunity cost of producing one plane:
[tex]\[ \text{Opportunity Cost}_{\text{Plane}_A} = \frac{\text{Number of ships produced per day by Country A}}{\text{Number of planes produced per day by Country A}} = \frac{60}{20} = 3 \][/tex]

For Country B:
- Opportunity cost of producing one ship:
[tex]\[ \text{Opportunity Cost}_{\text{Ship}_B} = \frac{\text{Number of planes produced per day by Country B}}{\text{Number of ships produced per day by Country B}} = \frac{50}{100} = 0.5 \][/tex]
- Opportunity cost of producing one plane:
[tex]\[ \text{Opportunity Cost}_{\text{Plane}_B} = \frac{\text{Number of ships produced per day by Country B}}{\text{Number of planes produced per day by Country B}} = \frac{100}{50} = 2 \][/tex]

### Step 2: Comparative Advantage

Comparative advantage is determined by the lower opportunity cost.
- For ships:
[tex]\[ \text{comparative advantage} \to \min \left( \text{Opportunity Cost}_{\text{Ship}_A}, \text{Opportunity Cost}_{\text{Ship}_B} \right) = \min \left( 0.333, 0.5 \right) = 0.333 \ (\text{Country A}) \][/tex]
- For planes:
[tex]\[ \text{comparative advantage} \to \min \left( \text{Opportunity Cost}_{\text{Plane}_A}, \text{Opportunity Cost}_{\text{Plane}_B} \right) = \min \left( 3, 2 \right) = 2 \ (\text{Country B}) \][/tex]

### Step 3: Absolute Advantage

Absolute advantage is determined by who can produce more of a good with the same resources.
- For ships:
[tex]\[ \text{Country A} \rightarrow 60 \, \text{ships/day}, \quad \text{Country B} \rightarrow 100 \, \text{ships/day} \quad \Rightarrow \quad \text{Country B has the absolute advantage in producing ships.} \][/tex]
- For planes:
[tex]\[ \text{Country A} \rightarrow 20 \, \text{planes/day}, \quad \text{Country B} \rightarrow 50 \, \text{planes/day} \quad \Rightarrow \quad \text{Country B has the absolute advantage in producing planes.} \][/tex]

### Conclusion

Using the analyses above, only the following statements are supported:
A. Country B has a comparative advantage producing planes.

Therefore, the correct conclusion supported by the data is:
A. Country B has a comparative advantage producing planes.