
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
Using a steel bar with a total length of 14.8m to make a rectangular container frame, if the length of the bottom surface of the container is 0.5m more than its width, what are the length and width for the container to have the maximum volume? And calculate its maximum volume.

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