
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
Given that the total production cost $C$ (unit: Yuan) of a product and its production quantity $q$ (unit: $kg$) have the function relationship $C=100+4q$, and the price $p$ (unit: Yuan) and the production quantity $q$ have the function relationship $p=25- \frac{q}{8}$, then the profit is maximized when the production quantity $q$ is _______ $kg$.

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