
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 consumer product costs 120 yuan per item, and without additional tax, approximately 800,000 items are sold each year. If the government imposes an additional tax, where $r$ yuan is taxed for every 100 yuan of sales (this is called a tax rate of $r\%$), the annual sales volume will decrease by $\frac{20}{3}r$ ten thousand items. To ensure that the tax revenue from this business operation is no less than 2.56 million yuan each year, how should $r$ be determined?

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