
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
On January 1, 2010, the world's third-largest free trade area, the China-ASEAN Free Trade Area, was officially established, marking the beginning of the "zero tariff" era for the trade area. A private border trade company in Guangxi plans to transport 240 tons of white sugar to locations A and B in an ASEAN country using a total of 20 large and small trucks, which can exactly accommodate this batch of white sugar. It is known that the load capacities of these two types of trucks are 15 tons per truck and 10 tons per truck, respectively. The freight charges to location A are: 630 yuan per large truck and 420 yuan per small truck; to location B: 750 yuan per large truck and 550 yuan per small truck.
(1) Determine the number of each type of truck used;
(2) If 10 trucks are arranged to go to location A and the rest to location B, and the white sugar transported to location A is not less than 115 tons, please design a truck deployment plan that minimizes the total freight charges and calculate the minimum total freight charges.

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