
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
Last winter and this spring, some areas of our city suffered from a rare drought. "Droughts are merciless, but people are compassionate." A certain unit donated a total of 320 pieces of drinking water and vegetables to a rural primary and secondary school, with the drinking water exceeding the vegetables by 80 pieces.  
(1) How many pieces of drinking water and vegetables are there respectively?  
(2) It is now planned to rent a total of 8 trucks of type A and type B to transport all the drinking water and vegetables to the rural school in one trip. It is known that each type A truck can carry a maximum of 40 pieces of drinking water and 10 pieces of vegetables, and each type B truck can carry a maximum of 20 pieces of drinking water and 20 pieces of vegetables. How many transportation plans are there for arranging type A and type B trucks? Please help to design them;  
(3) Under the conditions of (2), if each type A truck requires a freight charge of 400 yuan, and each type B truck requires a freight charge of 360 yuan. Which plan should the transportation department choose to minimize the freight cost? What is the minimum freight cost?

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