
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
A research institute transfers a high-tech technology to a company for production. According to the agreement, the research institute extracts 4 million yuan annually from the company's profits at the end of each year and invests it elsewhere, resulting in an annual profit of 10%. 

1. After three years, will the research institute's total revenue reach 13 million yuan?
2. If the institute aims to achieve a total revenue of 16 million yuan after three years, how much must it extract from the company's profits annually, at the very least?

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