
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, while 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, and the profit from each barrel of product B is ¥400. In the production plan for these two products, the company requires that the daily consumption of materials A and B does not exceed 12 kg. Arrange the production plan reasonably to find the maximum total profit the company can achieve daily from the two products.

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