
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 merchant sells a certain item, which costs 8 yuan to purchase, at a price of 10 yuan each, and can sell 100 items per day. Now, he decides to increase the selling price and reduce the purchase quantity to increase profit. It is known that for every 1 yuan increase in the selling price, the sales volume decreases by 10 items. What should be the selling price per item to maximize the daily profit? And what is the maximum profit?

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