
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
In the face of increasingly fierce competition in the consumer market, many merchants are constantly expanding their sales markets to reduce production costs. The market department of a certain white wine brewing enterprise conducted a linear regression analysis on the product sales volume (in units of thousands of boxes) and unit cost (in units of yuan) of the enterprise in September. The results are as follows:

$\overline{x}= \frac{7}{2}$, $\overline{y}=71$, $\sum_{^{i=1}}^{_{\6}}x_{i}^{2}=79$, $\sum_{^{i=1}}^{_{\6}}x_{i}y_{i}=1481$.

Then, for each additional 1,000 boxes sold, the unit cost decreases by \_\_\_\_\_\_\_\_ yuan.

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