
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
For a certain product, originally priced at p yuan per item, n items can be sold each month. If the price increases by x percent (here x percent means x/100, and 0 < x ≤ 10), the monthly sales volume will decrease by y percent, and the revenue will become z times the original revenue.
(1) Assume y = x, find the value of x when the revenue is maximized;
(2) If y = x, find the range of x values that make the revenue increase compared to the original.

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