
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
On a highway, there is a warehouse every one hundred kilometers, with a total of five warehouses. The first warehouse has 10 tons of goods, the second warehouse has 20 tons of goods, and the fifth warehouse has 40 tons of goods. The other two warehouses are empty. If all the goods are to be consolidated into one warehouse, and transporting one ton of goods per kilometer costs 0.5 yuan, what is the minimum transportation cost needed?

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