
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
If the fixed charter cost is 10,000 yuan, and the cost of each person's plane ticket is 800 yuan for groups of 20 people or fewer, and decreases by 10 yuan for each additional person for groups with more than 20 people with a maximum of 75 people, determine the maximum profit that the travel agency can make.

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