
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
An enterprise wants to construct a rectangular open-top storage tank with a volume of 18m³ and a depth of 2m. If the cost per square meter for the base and the walls is 200 yuan and 150 yuan respectively, how should the tank be designed to minimize the total construction cost? What would the minimum total construction cost be?

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