
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
The hotel has 100 standard rooms, with a price of 400 yuan per day, but the occupancy rate is only 50%. For every 20 yuan reduction in the price, the number of occupied rooms increases by 5. What is the optimal room price for the hotel to maximize its revenue?

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