
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
At a newspaper stand, the cost price of newspapers purchased from a publisher is ¥0.12 per copy, and the selling price is ¥0.20 per copy. Unsold newspapers can be returned to the publisher at a price of ¥0.04 per copy. Over a month (considered as 30 days), there are 20 days when 400 copies can be sold each day, and for the remaining 10 days, 250 copies can be sold each day. However, the number of copies purchased from the publisher each day must be the same. How many copies should the stand purchase daily from the publisher to maximize the monthly profit? Also, calculate the maximum profit that can be earned in a month.

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