
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 set at 300 yuan, all cars can be rented out. For every additional 5 yuan increase in the monthly rent, one more car will remain unrented. The maintenance cost for each rented car is 15 yuan per month, and for each unrented car, it is 5 yuan per month.
(1) How many cars can be rented out when the monthly rent per car is set to 360 yuan?
(2) At what monthly rent per car will the rental company's monthly revenue be maximized? What is the maximum monthly revenue?

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