
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
A cell phone plan costs $25$ dollars each month, plus $0.10$ dollars per text message sent, plus $0.15$ dollars for each minute used over $30$ hours, but not exceeding $31$ hours. Any usage beyond $31$ hours costs $0.20$ dollars per minute. Given that Lucas sent $150$ text messages and talked for $31.5$ hours, calculate the total cost of the plan.

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