
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 home appliance repair center has a total of 15 staff members, consisting of technicians and assistant staff, where the number of technicians is twice the number of assistant staff. The repair center plans to distribute a total of 20,000 yuan in bonuses, with two standards: "individual bonus for technicians" A yuan and "individual bonus for assistant staff" B yuan, where A≥B≥800, and both A and B are multiples of 100.  
(1) Determine the number of technicians and assistant staff in the repair center;  
(2) Determine the specific plan for the bonus distribution?

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