
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 New Country Development Document No. 2 has given Guizhou a major opportunity. "Micro and small enterprises" can enjoy favorable national policies. A certain micro and small enterprise in Guizhou is introducing two types of machines, $A$ and $B$, to accelerate the pace of industrial transformation and upgrading. It is known that one $A$ machine processes 2 more parts per hour than one $B$ machine, and the time it takes for one $A$ machine to process 80 parts is equal to the time it takes for one $B$ machine to process 60 parts.  
$(1)$ Find out how many parts each machine $A$ and $B$ processes per hour.  
$(2)$ If the enterprise plans to arrange a total of 10 machines of types $A$ and $B$ to process a batch of parts together, and in order to complete the task on time, they need to process at least 70 parts per hour, then how many machines of type $A$ should be arranged at least?

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