
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
Given that the financial revenue $x$ (in billion yuan) and expenditure $y$ (in billion yuan) of a certain region satisfy the linear regression equation $\hat{y} = bx + a + e$ (in billion yuan), where $b = 0.8$ and $a = 2$, find the maximum value of the expected expenditure when the financial revenue of the region is $10$ billion yuan.

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