
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 goods that cost 8 yuan per unit at a price of 10 yuan each, selling 100 units per day. Now, he adopts the strategy of increasing the selling price and reducing the purchase quantity to increase profit. It is known that for every 1 yuan increase in price, the sales volume decreases by 10 units. What should be the selling price to maximize the profit?

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