
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, workers produce gadgets and gizmos. Each worker has a constant production rate for both products, but the rates for the two products can differ. In one hour, 150 workers can produce 450 gadgets and 300 gizmos. In two hours, 100 workers can produce 400 gadgets and 500 gizmos. In four hours, 75 workers can produce $n$ gadgets and 900 gizmos. Find $n$.

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