
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
When making investment plans, one must consider not only the potential profits but also the potential losses. An investor plans to invest in two projects, A and B. According to forecasts, the maximum potential profit rates for projects A and B are 100% and 50%, respectively, while the maximum potential losses are 30% and 10%, respectively. The investor plans to invest no more than 100,000 yuan, with a requirement that the potential capital loss does not exceed 18,000 yuan. How much should the investor allocate to projects A and B, respectively, to maximize potential profits?

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