
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 ship's fuel cost during navigation is directly proportional to the cube of its speed. Other costs unrelated to speed are 96 yuan per hour. It is known that when the speed is 10 kilometers per hour, the fuel cost per hour is 6 yuan. To minimize the total cost per kilometer traveled, what should be the ship's speed in kilometers per hour?

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