
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]


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A company has 1000 employees, with each employee creating an average profit of 100,000 yuan per year. To increase the company's competitiveness, the company decides to optimize its industrial structure by adjusting x (x ∈ N*) employees to engage in the tertiary industry. After the adjustment, these employees create an average profit of 10(a - 0.8x%) thousand yuan per person (a > 0), while the remaining employees increase their average annual profit by 0.4x%.

(I) What is the maximum number of employees that can be adjusted to engage in the tertiary industry to ensure that the remaining employees create an annual total profit not lower than the original 1000 employees?

(II) Under the condition that the remaining employees create an annual total profit not lower than the original 1000 employees, what is the range of a if it is required that the adjusted employees always create an annual total profit not higher than the remaining employees?

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