
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
To celebrate Children's Day on June 1st and cultivate children's social practice abilities, Gongneng Middle School held a "Labor Creative Market" activity. 

The relationship between the total profit $y (in yuan)$ obtained from selling homemade ice powder by a class in the first year and the number of units sold $x (in units)$ is shown in the table below:

| $x$ (units) | $0$ | $10$ | $20$ | $30$ | $40$ | $50$ | $\ldots$ |
|-------------|-----|------|------|------|------|------|----------|
| $y$ (yuan)  | $-120$ | $-80$ | $-40$ | $0$ | $+40$ | $+80$ | $\ldots$ |

By observing the data in the table, it can be seen that at least ______ units need to be sold for the class to not incur losses in this sales activity.

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