
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 Rosa's New Rose Shop, every bouquet has a fixed base cost of $\$5$. Additionally, a bouquet containing a dozen roses costs $\$25$. The total price of a bouquet is the sum of the base cost and variable cost (directly proportional to the number of roses it contains). Find the cost of a bouquet with 50 roses.

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