
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 store sells a product, which costs 8 yuan to purchase, at 10 yuan each, and can sell 200 units per day. Now, to earn more profit, the store decides to increase the selling price. It is known that for every 0.5 yuan increase in price, the store will sell 10 fewer units. What should the selling price be set at to maximize daily profit, and what is the maximum profit?

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