
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 factory incurs a fixed daily cost of \$600 for operations and pays each worker \$20 per hour. Each worker assembles 6 gadgets per hour, which are then sold for \$4 each. Determine the minimum number of workers needed for the factory to make a profit in a 9-hour workday.

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