
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 plans to build a rectangular open-top water storage tank with a volume of 4800m<sup>3</sup> and a depth of 3m. If the cost of constructing the base is 150 yuan per square meter, and the cost of constructing the walls is 120 yuan per square meter, how should the tank be designed to minimize the construction cost? What is the minimum construction cost?

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