
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
(This question is worth 12 points)  
An investor plans to invest in two projects, A and B. According to forecasts, the maximum profit rates for projects A and B are 100% and 50%, respectively, and the maximum possible loss rates are 30% and 10%, respectively. The investor plans to invest no more than 100,000 yuan. If it is required to ensure that the possible loss of the invested capital 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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