
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 orchard currently has 100 fruit trees, with an average yield of 600 fruits per tree. Experience suggests that for each additional tree planted, the average yield per tree decreases by 5 fruits. If $x$ additional trees are planted, resulting in a total of $y$ fruits harvested from the orchard, determine how many trees should be planted to maximize the total number of fruits harvested.

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