
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 hotel has 300 rooms, and when the daily rent per room is 100 yuan, the hotel is fully booked every day. The hotel wants to upgrade and increase the rent. If the daily rent per room increases by 10 yuan, the number of rented rooms decreases by 10. Assuming no other factors are considered, to what amount should the hotel raise the room rent to maximize the total daily rental income, and what is the maximum daily rental income?

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