
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 rent for each car is 3000 yuan, all cars can be rented out. For every increase of 50 yuan in the monthly rent for each car, one additional car will remain unrented. Each rented car requires a monthly maintenance fee of 150 yuan, while each unrented car requires a monthly maintenance fee of 50 yuan. To maximize the monthly revenue of the car rental company, what should the monthly rent for each car be set to?

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