
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
June 5th of each year is World Environment Day. In order to promote low-carbon environmental protection, a company decides to purchase 10 energy-saving new devices. There are two models, A and B, available for purchase. After investigation, it is found that buying 3 type A devices costs $16,000 more than buying 2 type B devices, and buying 2 type A devices costs $6,000 less than buying 3 type B devices.  
$(1)$ Find the prices of type A and type B devices.  
$(2)$ The company has budgeted that the funds for purchasing new energy-saving devices should not exceed $110,000. What are the possible purchasing plans for the company?

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