
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 full score for this question is 15 points.  
A factory produces two types of products, A and B, with per kilogram values of 600 yuan and 400 yuan, respectively. It is known that producing 1 kilogram of product A requires 4 kilograms of raw material A and 2 kilograms of raw material B; producing 1 kilogram of product B requires 2 kilograms of raw material A and 3 kilograms of raw material B. However, the factory currently has 100 kilograms of raw material A and 120 kilograms of raw material B. How should production be arranged to achieve the maximum value, and what is the maximum value?

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