
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
Construct an open-top rectangular swimming pool with a volume of 16 cubic meters and a depth of 4 meters. If the cost of the pool bottom is 110 yuan per square meter and the cost of the pool walls is 90 yuan per square meter, find the length and width of the rectangular pool that minimizes the total cost and determine the lowest cost.

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