
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 vehicles. When the monthly rental fee for each vehicle is set at 3,000 yuan, all vehicles can be rented out. For every 60 yuan increase in the monthly rental fee per vehicle, there will be one more vehicle that is not rented out. The monthly maintenance cost for each rented vehicle is 160 yuan, and for each vehicle that is not rented out, the maintenance cost is 60 yuan.
(Ⅰ) How many vehicles can be rented out when the monthly rental fee per vehicle is set at 3,900 yuan?
(Ⅱ) At what monthly rental fee per vehicle 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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