
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
Make a rectangular frame with two types of materials. According to the requirements, the length and width should be made of materials priced at 3 yuan and 5 yuan per meter, respectively, and both the length and width must be integers. Now, if the budget does not exceed 100 yuan, what is the maximum area of the rectangular frame that can be made?

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