
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
You are to construct a rectangular open-top water tank with a volume of $4800m^{3}$ and a depth of $3m$. If the cost of construction for the base is $150 per square meter and the cost for the walls is $120 per square meter, how should the tank be designed to minimize the total cost? What is this minimum total cost?

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