
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 certain store purchases 900 tons of a certain type of goods every year, each time purchasing $x$ tons, with a shipping cost of 90,000 yuan per time, and the total annual storage cost is $9x$ ten thousand yuan.  
(1) To minimize the sum of the total shipping cost and total storage cost for the year, how many tons should be purchased each time?  
(2) To ensure that the sum of the total shipping cost and total storage cost for the year does not exceed 5.85 million yuan, what range should the purchase amount per time fall into?

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