
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 the cost price of a product is 40 yuan per piece, and when the selling price is 50 yuan per piece, 500 pieces can be sold in a month. Through market research, it is found that if the price of each product is increased by 1 yuan, the monthly sales volume of the product will decrease by 10 pieces. To maximize the monthly profit from selling this product, the store should set the price per product at __ yuan.

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