
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
Contractor Lucy agreed to complete a project in 40 days. After working for 10 days with 12 workers, they completed $\frac{2}{5}$ of the project. If each worker maintains the same pace, what is the minimum number of workers Lucy must keep on the project to ensure that it is completed on time?

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