
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 the corresponding data between the advertising expenses $x$ (in units of 10,000 yuan) and the sales amount $y$ (in units of 10,000 yuan) of a certain product as shown below:

|x|2|4|5|6|8|
|-|-|-|-|-|-|
|y|30|40|50|60|70|

It is known that the regression equation between them is $\hat{y}=bx+\hat{a}$. Given that $\hat{b}=7$, calculate the predicted value of sales amount when investing 10,000 yuan in advertising expenses.

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