
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 resident of a metropolis uses a 60-watt incandescent lamp for 100 hours monthly. The electricity tariff is 5 rubles per kWh.

The resident can buy a more energy-efficient 12-watt lamp costing 120 rubles, which provides the same light output as the 60-watt lamp. Alternatively, the resident can work with an energy service company that will install the energy-efficient lamp, but in return, the resident must pay the company 75% of the electricity cost savings over 10 months (the electricity tariff is independent of the installation method).

(a) If the resident plans their expenses only for the next 10 months, will they install the energy-efficient lamp themselves or use the energy service company?

(b) If the resident plans their expenses for the entire lifespan of a typical energy-efficient lamp, what decision will they make?

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