
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 supermarket conducted an experiment to maximize its profit. If a product, which costs 8 yuan to purchase, is sold at 10 yuan per piece, 60 pieces can be sold per day. Now, by adopting the method 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 will decrease by 10 pieces. What should be the selling price of the product to earn the maximum profit, and what is the maximum profit?

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