
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
In a factory, 40 workers switch to a Stakhanovite work method, resulting in a 20% increase in production. If, along with these first Stakhanovites, a total of 60% of the workers switch to the new work method, the factory's production increases to 2.5 times the original production. The question is, how many workers are there in the factory, and by how much will the factory's production increase if all workers learn the new work method?

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