
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
Mr. Zhang plans to invest in a batch of in-demand goods. After conducting market research, he finds that if he sells at the beginning of the month, he can make a 15% profit and reinvest the principal and profit into other goods, making an additional 10% profit by the end of the month. If he sells at the end of the month, he can make a 30% profit, but he has to pay a storage fee of 700 yuan.
1. How much capital needs to be invested for the profits from the two sales methods to be equal?
2. Now, if Mr. Zhang decides to invest 50,000 yuan, which sales method would yield more profit?

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