
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 China, individual income tax on wages and salaries is calculated in segments. If the total income does not exceed 800 yuan, it is exempt from the individual income tax. The portion exceeding 800 yuan is taxable. Let the monthly taxable amount be \(x\), \(x =\) total monthly income - 800 yuan. The tax rate is shown in the following table:
\begin{tabular}{|c|c|c|}
\hline Level & Monthly Taxable Amount \(x\) & Tax Rate \\
\hline 1 & Not exceeding 500 yuan & 5\% \\
\hline 2 & Exceeding 500 yuan to 2000 yuan & 5\% \\
\hline 3 & Exceeding 2000 yuan to 5000 yuan & 10\% \\
\hline & & 15\% \\
\hline 9 & Exceeding 100000 yuan & 45\% \\
\hline
\end{tabular}

(1) If the tax amount is \(f(x)\), express the tax amount calculation formula \(f(x)\) for Levels 1-3 using a piecewise function.
(2) A person’s total wages in March 2000 are 3000 yuan. Calculate the individual income tax payable by this person for March.

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