
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 flour factory has 20 workers. To earn more profit, they added a project to process flour into noodles (producing 1 kg of noodles requires 1 kg of flour). Each worker on average produces 600 kg of flour per day or processes 400 kg of noodles per day. Selling flour directly can earn 0.2 yuan per kg. After processing into noodles, each kg of noodles can earn 0.6 yuan. If each worker can only do one job per day, how many workers should process noodles to maximize the factory's daily total profit, and what will be the maximum profit?

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