
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 workshop, 150 workers are able to produce 450 widgets and 300 whoosits in an hour. If 90 workers take three hours to produce 540 widgets and $n$ whoosits, and if 75 workers in four hours produce 300 widgets and 400 whoosits, find $n$. Assume the total time taken by one worker to produce one widget is half the time taken to produce one whoosit.

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