
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 now needs to purchase 20 identical shirts with a budget of $200. There is a $5 entrance fee at the store. If Alec buys more than 15 shirts, he receives a $10\%$ discount on the total price before tax. Assuming a $5\%$ sales tax is added to the net price after any discount, what is the greatest possible price per shirt that Alec can afford?

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