
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 research-oriented study group intends to construct a rectangular water tank without a lid. The tank has a volume of $0.18 \, \text{m}^3$ and a depth of $0.5 \, \text{m}$. The cost of constructing the base and walls of the tank is $400 \, \text{yuan/m}^2$ and $100 \, \text{yuan/m}^2$, respectively. The minimum total cost of constructing the water tank is _______ yuan.

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