
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
If a product with a purchase price of 40 yuan is sold for 50 yuan, it can sell 500 units. Market research indicates that for each 1 yuan increase in price, the sales volume decreases by 10 units. To achieve a profit of 8000 yuan, at what price should each product be set?

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