
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
With the deepening of institutional reforms, all units need to reduce staff and increase efficiency. A company currently has $2a$ employees ($140 < 2a < 420$, and $a$ is an even number), and each employee can generate a profit of $b$ ten thousand yuan per year. According to assessments, under the premise that operating conditions remain unchanged, for every employee laid off, the remaining employees can generate an additional $0.01b$ ten thousand yuan per year, but the company needs to pay $0.4b$ ten thousand yuan per year in living expenses for each laid-off employee. Moreover, the number of employees needed for the company to operate normally must not be less than $\frac{3}{4}$ of the current number of employees. To achieve the maximum economic benefit, how many employees should the company lay off?

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