
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
There are 45 workers, each of whom can produce 30 parts of type A, or 25 parts of type B, or 20 parts of type C per hour. Now, to assemble a certain machine, 3 parts of type A, 5 parts of type B, and 4 parts of type C are needed. How should we allocate the workers to produce parts A, B, and C, respectively, so that the hourly production of parts matches the assembly requirements exactly?

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