
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 tourist attraction estimates that the number of tourists $p(x)$ (in ten thousand people) from January 2013 onwards in the $x$-th month is approximately related to $x$ as follows: $p(x)=-3x^{2}+40x (x \in \mathbb{N}^{*}, 1 \leqslant x \leqslant 12)$. The per capita consumption $q(x)$ (in yuan) in the $x$-th month is approximately related to $x$ as follows: $q(x)= \begin{cases}35-2x & (x \in \mathbb{N}^{*}, 1 \leqslant x \leqslant 6) \\ \frac{160}{x} & (x \in \mathbb{N}^{*}, 7 \leqslant x \leqslant 12)\end{cases}$. Find the month in 2013 with the maximum total tourism consumption and the maximum total consumption for that month.

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