
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
The Dorokhov family plans to purchase a vacation package to Crimea. The vacation will include the mother, father, and their eldest daughter Polina, who is 5 years old. They have chosen to stay at the "Bristol" hotel and have reached out to two travel agencies, "Globus" and "Around the World," to calculate the cost of the tour from July 10 to July 18, 2021.

The deals from each agency are as follows:
- At "Globus": 
  - 11,200 rubles per person for those under 5 years old.
  - 25,400 rubles per person for those above 5 years old.
  - A 2% discount on the total cost as regular customers.

- At "Around the World": 
  - 11,400 rubles per person for those under 6 years old. 
  - 23,500 rubles per person for those above 6 years old.
  - A 1% commission fee is applied to the total cost.

Determine which travel agency offers the best deal for the Dorokhov family and identify the minimum cost for their vacation in Crimea. Provide only the number in your answer, without units of measurement.

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