
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 generating a profit of 8 yuan per item. For each grade increase, the profit per item increases by 4 yuan. The daily working hours can produce 60 pieces of the lowest grade product, and for each grade increase, 6 fewer products will be produced. Determine the grade of product that maximizes profit.

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