
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
I planned to work 15 hours a week for 10 weeks during my winter internship to earn $\$2500$ for a vacation. However, due to unexpected exams, I missed the first three weeks of work. The rate for the first ten hours of work each week is $\$10$ per hour, but any hours worked beyond that are paid at $\$15$ per hour. What should my new work schedule look like per week for the remaining period to exactly meet my target amount?

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