
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 a certain city, the rate of taxation is initially set at 10% for the first $20,000 of income. Beyond $20,000, the tax rate increases by $0.5\%$ for every additional $10,000 in income. What income level, in dollars, will yield the greatest take-home pay?

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