
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
Given that one unit of product A requires 1.5 kg of material X, 1 kg of material Y, and 5 working hours, and one unit of product B requires 0.5 kg of material X, 0.3 kg of material Y, and 3 working hours, and the profit from one unit of product A is 2100 yuan, and the profit from one unit of product B is 900 yuan, and the company has 150 kg of material X, 90 kg of material Y, and no more than 600 working hours available, calculate the maximum total profit that can be obtained from producing products A and B.

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