
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
Last year, the East Sea Crystal City World's business hall made a profit of 3 million yuan. At the beginning of this year, it relocated to the new Crystal City business hall, expanding its scope of operations. To achieve higher profits, it is necessary to increase advertising efforts. It is expected that starting from this year, the profit will grow at an annual rate of 26%, while on December 30th of each year, an advertising fee of x million yuan will be paid. To achieve the goal of doubling the profit after 10 years, find the maximum value of the annual advertising fee x in million yuan. (Note: $1.26^{10} \approx 10.$)

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