
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 company rents land to build a warehouse. The monthly land occupation fee $y_1$ is inversely proportional to the distance from the warehouse to the station, while the monthly freight cost $y_2$ for the stored goods is directly proportional to the distance to the station. If the warehouse is built 10 kilometers away from the station, these two costs $y_1$ and $y_2$ are 20,000 yuan and 80,000 yuan, respectively. To minimize the sum of these two costs, the warehouse should be built \_\_\_\_\_\_\_\_\_\_ kilometers away from the station.

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