
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
When the bakery bakes cookies, they are divided into packages of 6 and 12 pieces. The profit from selling a six-piece package is 4 CZK and from selling a twelve-piece package is 9 CZK. What is the maximum and minimum number of cookies that can be on a baking tray if the profit from their sale is 219 CZK?

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