
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
(This question is worth 14 points.)

A newspaper stand in a city buys the "Evening News" from the newspaper office at a price of 0.20 yuan per copy and sells it at 0.30 yuan per copy. The unsold newspapers can be returned to the newspaper office at a price of 0.05 yuan per copy. In a month (calculated as 30 days), there are 20 days when 400 copies can be sold each day, and for the remaining 10 days, only 250 copies can be sold each day. However, the number of copies bought from the newspaper office each day must be the same. How many copies should the stand owner buy from the newspaper office each day to maximize the monthly profit? And calculate the maximum amount of money he can earn in a month?

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