
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
The cost $C$ of sending a parcel post package weighing $P$ pounds (where $P$ is an integer) comprises a base cost and a variable cost based on the weight. The cost is $15$ cents for the first pound, $5$ cents for each additional pound plus a $2$ cents flat environmental handling fee. Derive the formula for the cost $C$ in cents.

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