
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
Alice is comparing two internet plans. Plan X has no monthly fee, but the user has to pay $15$ cents per MB of data used. Plan Y has a monthly fee of $\$30$, but the data cost is only $7$ cents per MB. Additionally, Alice receives a discount of $\$10$ after she uses over 500 MB. At what minimum usage in MB does Plan Y become cheaper than Plan X?

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