
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
(The full score of this question is 14 points)  
When making an investment plan, one should consider not only the potential profits but also the possible losses. An investor plans to invest in two projects, A and B. According to predictions, the maximum possible profits for projects A and B are 100% and 50%, respectively, while the maximum possible losses are 30% and 10%, respectively. The investor plans to invest no more than 100,000 yuan, with the requirement that the possible capital loss does not exceed 18,000 yuan. How much should the investor invest in projects A and B, respectively, to maximize the possible profit?

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