
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 to arrange a trip for 900 guests. The two types of vehicles, A and B, have capacities of 36 and 60 passengers respectively, and their rental costs are 1600 yuan per vehicle and 2400 yuan per vehicle respectively. The travel agency requires that the total number of rented vehicles does not exceed 21, and the number of type B vehicles should not exceed the number of type A vehicles by more than 7. How should they arrange the rental to minimize the cost, and what is the minimum rental cost?

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