
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 product comes in 10 different quality grades. The profit for each piece of the lowest quality grade is 8 yuan. For each increase in grade, the profit per piece increases by 2 yuan. Using the same amount of work hours, 60 pieces of the lowest grade can be produced, and each increase in grade results in 3 fewer pieces being produced. Determine the quality grade that maximizes the profit.

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