
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 wooden desks and chairs, requiring carpenters and painters to complete two processes. It is known that a carpenter takes an average of four hours to make a chair and eight hours to make a desk. The factory has a maximum of $8000$ carpenter hours per week. A painter takes an average of two hours to paint a chair and one hour to paint a desk. The factory has a maximum of $1300$ painter hours per week. It is also known that the profit from making a chair is $15$ yuan and the profit from making a desk is $20$ yuan. Based on the above conditions, the maximum profit that can be obtained in a week is ________ yuan.

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