
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 car rental company owns 100 cars. When the monthly rental fee per car is 3000 Yuan, all the cars are rented out. For every 50 Yuan increase in the monthly rental fee per car, one more car remains unrented. The maintenance cost for each rented car is 150 Yuan per month, and the maintenance cost for each unrented car is 50 Yuan per month. At what monthly rental fee per car does the car rental company achieve maximum monthly revenue? What is the maximum monthly revenue?

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