
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 type of product is divided into 10 grades according to the manufacturing process, with the lowest grade product having a profit of 8 yuan per piece. For each grade increase, the profit per piece increases by 2 yuan. Using the same working hours, 60 pieces of the lowest grade product can be produced, and for each grade increase, 3 fewer products will be produced. Find the grade of the product that maximizes profit.

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