
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
During the "Golden Week" holiday, the number of visitors to a zoo changes each day over a $7$-day period as shown in the table below (positive numbers indicate more visitors than the previous day, negative numbers indicate fewer visitors than the previous day):

| Date | 1st Day | 2nd Day | 3rd Day | 4th Day | 5th Day | 6th Day | 7th Day |
|------|---------|---------|---------|---------|---------|---------|---------|
| Change in Visitors (in 10,000 people) | $+1.6$ | $+0.8$ | $+0.4$ | $-0.4$ | $-0.8$ | $+0.2$ | $-1.2$ |

$(1)$ If the number of visitors on September $30$th is denoted as $a$ (in 10,000 people), express the number of visitors on October $2$nd in terms of $a$ as ______, and the day with the most visitors within the seven days is ______.

$(2)$ If the number of visitors on September $30$th is $2$0,000 people, and the ticket price per person is $15$ yuan, what is the total ticket revenue for the zoo during the Golden Week?

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