
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 100 standard rooms, with a room rate of 400 yuan/day, but the occupancy rate is only 50%. If the room rate is reduced by 20 yuan, then 5 more rooms can be occupied. Find the appropriate room rate to maximize the hotel's room revenue.

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