
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
It is known that the cost price of a certain product is 40 yuan per item, and the selling price is 60 yuan per item, with a weekly sales volume of 300 items. Market research shows that for every 1 yuan increase in price, 10 fewer items will be sold each week. At what price should the product be set to maximize the store's profit?

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