
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 children's clothing store purchased 40 sets of children's clothing at a price of $80$ yuan per set, and then sold all of them at a 10% discount off the marked price. If a profit of no less than $4000$ yuan is desired, the minimum marked price for each set of children's clothing should be ____ yuan.

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