
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
In a certain area, the charging standard for residents' electricity consumption is as follows: if the monthly usage does not exceed $100$ kilowatt-hours, the electricity price is $a$ yuan per kilowatt-hour. If it exceeds $100$ kilowatt-hours, the excess electricity is charged at $b$ yuan per kilowatt-hour. If a household consumes $160$ kilowatt-hours in a month, the amount of electricity fee the household should pay this month is ______ yuan (expressed in terms of $a$ and $b$).

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