
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
A company produces two types of barrel products, A and B. It is known that producing one barrel of product A requires 1 kg of material A and 2 kg of material B; producing one barrel of product B requires 2 kg of material A and 1 kg of material B. The profit from each barrel of product A is 300 yuan, and the profit from each barrel of product B is 400 yuan. In the company's production plan for these two products, it is required that the daily consumption of materials A and B does not exceed 12 kg. Find the maximum profit the company can obtain from producing these two products daily.

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