
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 factory produces two types of products, type A and type B, using two kinds of components, component A and component B, respectively. Producing one unit of product A consumes 4 units of component A and takes 1 hour, while producing one unit of product B consumes 4 units of component B and takes 2 hours. The factory can obtain a maximum of 16 units of component A and 12 units of component B from the component factory per day. Considering an 8-hour workday, if producing one unit of product A yields a profit of 20,000 yuan and producing one unit of product B yields a profit of 30,000 yuan, what production arrangement maximizes profit?

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