
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 product is currently priced at $60$ yuan per item, with a weekly sales volume of $300$ items. Market research indicates that for every $1$ yuan increase in price, the weekly sales volume decreases by $10$ items; for every $1$ yuan decrease in price, the weekly sales volume increases by $20$ items. It is known that the cost price of the product is $40$ yuan per item. How should the pricing be set to maximize profit?

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