
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 what selling price should a product, initially purchased at 6 yuan per item, be sold to achieve maximum profit, given that the number of items sold decreases by 10 for each 1 yuan increase in the selling price, starting from 100 units sold when the selling price is 6 yuan?

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