
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
Yueyang City is the main tea-producing area in our province, and after the Qingming Festival is the season for picking spring tea. It is known that the amount of tea picked by skilled tea pickers each day is three times that of novice tea pickers. Each skilled tea picker picks 600 pounds of fresh leaves less than 450 pounds of tea picked by novice tea pickers in 25 days.<br/>$(1)$ Find the number of pounds of fresh leaves that a skilled tea picker can pick in one day;<br/>$(2)$ A certain tea factory plans to pick 600 pounds of fresh leaves in one day. The tea factory has 20 skilled tea pickers and 15 novice tea pickers. The skilled tea pickers are paid 300 yuan per person per day under the piecework system, and the novice tea pickers are paid 80 yuan per person per day. How should skilled and novice tea pickers be arranged to minimize costs?

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