
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 certain company held its anniversary celebration in June 2023 and planned to purchase some office supplies as prizes to be distributed at the event. It is known that purchasing 2 tablets and 3 Bluetooth speakers costs a total of 7600 yuan; the cost of purchasing 3 tablets is the same as the cost of purchasing 5 Bluetooth speakers.  
$(1)$ Find the unit prices of the tablets and Bluetooth speakers.  
$(2)$ The company plans to purchase a total of 30 tablets and Bluetooth speakers. A certain store has two promotional activities (which cannot be participated in simultaneously):  
Activity 1: A flat 10% discount.  
Activity 2: No discount for purchases under 24000 yuan. For purchases exceeding 24000 yuan, the excess amount is discounted by 20%.  
If the company purchases $a$ tablets, determine which promotional activity is more cost-effective for purchasing tablets and Bluetooth speakers.

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