
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 newspaper kiosk purchases 200 copies of newspapers from a publisher every day at a price of ¥0.5 per copy and sells them for ¥1 per copy. Unsold newspapers are sold to a recycling station at ¥0.05 per copy. Assuming that x copies are sold in one day.

(1) Find the expression for the daily profit y as a function of x, and state the domain.
(2) Determine the maximum and minimum values of the function.

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