
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 an open-topped rectangular water tank with a volume of 6400 m³ and a depth of 4 m. If the cost of constructing the base is 300 yuan per square meter, and the cost of constructing the walls is 240 yuan per square meter, how should the water tank be designed to minimize the total construction cost, and what is the minimum total cost?

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