
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
Alec needs to buy 20 identical shirts and has $\$200$ in total. There's a flat $\$5$ entrance fee for shopping at the warehouse. Each shirt has the same whole-dollar price and a $6\%$ sales tax is applied to the price of each shirt. What is the greatest possible price of a shirt that would allow Alec to buy 20 shirts?

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