
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
To welcome the 2008 Olympic Games, a craft factory plans to produce the Olympic logo "China Seal" and the Olympic mascot "Fuwa". The factory mainly uses two types of materials, A and B. It is known that producing a set of the Olympic logo requires 4 boxes of material A and 3 boxes of material B, and producing a set of the Olympic mascot requires 5 boxes of material A and 10 boxes of material B. The factory has purchased 20,000 boxes of material A and 30,000 boxes of material B. If all the purchased materials are used up, how many sets of the Olympic logo and Olympic mascots can the factory produce?

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