
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 fifth grade has 120 teachers and students going to visit the Natural History Museum. A transportation company offers two types of vehicles to choose from:
(1) A bus with a capacity of 40 people, with a ticket price of 5 yuan per person. If the bus is full, the ticket price can be discounted by 20%.
(2) A minivan with a capacity of 10 people, with a ticket price of 6 yuan per person. If the minivan is full, the ticket price can be discounted to 75% of the original price.
Please design the most cost-effective rental plan for the fifth-grade teachers and students based on the information above, and calculate the total rental cost.

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