
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
The sales price $p$ (in yuan) of a certain product over the last 30 days as a function of time $t$ (in days) is given by
$$
p= \begin{cases} t+20, & 0<t<25, t\in\mathbb{N} \\ -t+100, & 25\leq t\leq 30, t\in\mathbb{N} \end{cases}
$$
The daily sales volume $Q$ (in units) as a function of time $t$ (in days) is $Q=-t+40$ (where $0<t\leq 30, t\in\mathbb{N}$). Find the maximum daily sales revenue of this product and indicate on which day of the 30 days the maximum daily sales revenue occurs.

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