
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 travel agency rents two types of buses, A and B, to arrange a trip for 900 passengers. The capacity of type A and B buses are 36 and 60 passengers respectively, and their rents are 1600 yuan per bus and 2400 yuan per bus respectively. Determine the minimum rent under the constraints that the total number of buses rented does not exceed 21, and the number of type B buses should not be more than 7 more than the number of type A buses.

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