
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
In a newsstand in Shenzhen, the price at which the stand buys the "Shenzhen Special Zone Daily" from the newspaper office is 0.60 yuan per copy, and the selling price is 1 yuan per copy. Unsold newspapers can be returned to the newspaper office at a price of 0.10 yuan per copy. In a month (calculated as 30 days), there are 20 days when 400 copies can be sold each day and 10 days when only 250 copies can be sold each day. However, the stand owner must buy the same number of copies from the newspaper office every day. How many copies should the stand owner buy from the newspaper office each day to maximize the monthly profit? And how much is the maximum profit he can earn in a month?

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