
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 categorized into 10 quality grades. When producing the lowest grade, the profit per unit is 6 yuan. For every increase in one grade, the profit increases by 2 yuan. Using the same working hours, 60 units of the lowest grade can be produced per day, but production decreases by 4 units for each grade increase. Which grade should be produced to maximize profit?

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