
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
A farmer manages 2 hectares of farmland. According to his experience: if he plants rice, the yield per hectare per period is 6000 kilograms; if he plants peanuts, the yield per hectare per period is 1500 kilograms. However, the cost of growing rice is higher, requiring 3600 yuan per hectare per period, while peanuts only require 1200 yuan. Additionally, peanuts can be sold for 5 yuan per kilogram, whereas rice can only be sold for 3 yuan per kilogram. Now, he can only gather 6000 yuan. How many hectares of each crop should he plant to achieve maximum profit?

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