
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
Factory A and Factory B both produce the same type of clothing. Factory A produces 2700 sets of clothing per month, with the time ratio of producing tops to pants being 2:1. Factory B produces 3600 sets of clothing per month, with the time ratio of producing tops to pants being 3:2. If the two factories work together for one month, what is the maximum number of sets of clothing they can produce?

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