
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
Xiao Nan runs a newspaper stand, buying a type of evening paper from the press at a price of 0.60 yuan per copy and selling it at 0.80 yuan per copy. Unsold newspapers can be returned to the press at a price of 0.40 yuan per copy. In a month (calculated as 30 days), there are 20 days when 100 copies can be sold each day, and for the remaining 10 days, only 70 copies can be sold each day, but the number of newspapers bought from the press each day must be the same. The question is: How many copies of the newspaper should Xiao Nan buy from the press each day to maximize the monthly profit? What is the maximum monthly profit?

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