
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 product, which costs 8 yuan to purchase, is sold at 10 yuan per piece. 200 pieces can be sold per day. If the selling price is increased by 0.5 yuan, the sales volume will decrease by 10 pieces. To maximize the profit, the selling price should be set to _______.

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