
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
At Maria's Flower Shop, a bouquet containing a dozen roses costs $\$24$. If the price of a bouquet is directly proportional to the number of roses it contains, and there is a 10% discount applied to bouquets containing 45 roses or more, what will be the cost of a bouquet with 50 roses?

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