
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 certain store sells a batch of helmets for $80$ yuan each, and can sell $200$ helmets per month. During the "Creating a Civilized City" campaign, the store plans to reduce the price of the helmets for sale. After investigation, it was found that for every $1$ yuan reduction in price, an additional $20$ helmets can be sold per month. It is known that the cost price of each helmet is $50$ yuan. Find the selling price per helmet that maximizes the store's monthly profit.

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