
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 workshop has 20 workers. It is known that each worker can produce 6 Type A parts or 5 Type B parts per day. Producing one Type A part generates a profit of 150 yuan, and producing one Type B part generates a profit of 260 yuan. In this workshop, every day x workers are arranged to produce Type A parts, and the rest to produce Type B parts.  
(1) Write the function relationship between the daily profit y (in yuan) and x;  
(2) If the workshop's daily profit needs to be no less than 24,000 yuan, how many workers should be assigned to produce Type B parts at least?

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