
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 product with a purchase price of 40 yuan per unit is sold at a price of 50 yuan per unit, and 50 units are sold. If the selling price increases by 1 yuan, the sales volume will decrease by 1 unit. Determine the selling price that will achieve the maximum profit.

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