
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 has goods that cost $8 per item to purchase. If they sell the goods at $10 per item, they can sell 100 items per day. Now, they decide to increase the selling price and decrease the purchase volume to maximize their profit. It is known that for every $1 increase in selling price per item, the number of items sold decreases by 10. Determine the optimal selling price per item to maximize the daily profit.

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