
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
"Disasters are heartless, but people are compassionate." A city has packed supplies for donation to Haiti, including tents and food totaling 320 items, with tents outnumbering food by 80 items.  
(1) How many tents and food items were packed?  
(2) It is now planned to rent two types of trucks, Type A and Type B, totaling 8 trucks, to transport all these tents and food to Beijing International Airport for shipment to Haiti. It is known that Type A truck can carry up to 40 tents and 10 food items, while Type B truck can carry up to 20 tents and 20 food items each. How many different arrangements of Type A and Type B trucks are there? Please help to design them.  
(3) Under the conditions of question (2), if each Type A truck requires a transportation fee of 4000 yuan, and each Type B truck requires a transportation fee of 3600 yuan. Which arrangement should be chosen to minimize the transportation cost? What is the minimum transportation cost?

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