
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 past 30 days as a function of time $t$ (in days) is given by $p= \begin{cases} -t+100 \\ t+20 \end{cases}$ for $0 < t < 25, t\in \mathbb{N}$ and $25\leqslant t\leqslant 30, t\in \mathbb{N}$. The daily sales volume $Q$ (in units) as a function of time $t$ (in days) is given by $Q=-t+40$ for $0 < t\leqslant 30, t\in \mathbb{N}$. 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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