
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
To manufacture a rectangular container without a lid, with a volume of $4m^{3}$ and a height of $1m$. It is known that the cost of the base per square meter is $20$ yuan, and the cost of the side per square meter is $10$ yuan. Find the minimum total cost of the container.

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