
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 bookstore plans to sell 150,000 copies of a certain book within a year and wants to order the books in several batches. If each order incurs a handling fee of 30 yuan, and storing 1,000 copies of the book for a year costs 40 yuan in storage fees, assuming the books are distributed evenly throughout the market, how many times should the bookstore order and how many copies should be ordered each time to minimize the sum of handling and storage fees?

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