
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 company sells a product, which costs 8 yuan per unit to purchase, at a price of 10 yuan per unit. They can sell 100 units per day. If the selling price of the product increases by 1 yuan, the sales volume decreases by 10 units. To maximize profit, what should be the selling price per unit of this product? And what is the maximum daily profit?

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