
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 certain large theater is hosting a cultural performance with the following pricing standards:

| Number of Tickets | Pricing |
|-------------------|---------|
| Up to 30 people | $400 per person |
| More than 30 people | For each additional person, the price per ticket decreases by $5, but not less than $280 per ticket |

A company organized a group of employees to watch this performance, with a total of $x$ people.

$(1)$ When $x=33$, the company should pay ______ yuan for the tickets.

$(2)$ If the total ticket cost is $14000 yuan, find the number of employees watching the performance.

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