
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system

Consider two countries, A and B, that have equal farming areas. They can only grow eggplants and corn. The opportunity costs of producing either crop in each country are constant. The yield of both crops if the entire area is planted with only one crop is given in the table below: 

| Country | Eggplants | Corn |
| :------ | :-------: | :--: |
|    A    | 10 tons   | 8 tons |
|    B    | 18 tons   | 12 tons |

(a) Determine which country has the absolute and comparative advantages in producing eggplants and corn. Draw the production possibility curves for each country. 

(b) It is known that on the global market, where both countries supply their agricultural products, the prices of eggplants and corn are the same and equal to P. Each country can sell or buy any desired amount of vegetables. The residents of each country consume only these products and always prefer to consume them in a 1:1 ratio (i.e., consuming 1 unit of eggplants requires consuming 1 unit of corn, and neither vegetable is consumed without the other). What volume of each agricultural product will each country supply to the global market, and what volume of each product will be consumed by the residents of these countries? Assume that the governments of countries A and B care about their citizens and strive to provide them with as many vegetables as possible.

Present the answer in LaTex format: \boxed{Your answer}
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