
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
Shenzhen is a city with a severe water shortage. In order to protect the environment and make full use of water resources, after discussions at the Shenzhen "Water Tariff Hearing", it was decided that from August 1, 2004, the residential water tariff would be adjusted from the previous 1.6 yuan/cubic meter to 1.9 yuan/cubic meter. Additionally, an "excess high fee measure" was introduced: for each household, the monthly quota of water usage is up to 20 cubic meters, for the part exceeding 20 cubic meters but not exceeding 30 cubic meters, an additional 50% of the water fee will be charged for each cubic meter; for the part exceeding 30 cubic meters, an additional 100% of the water fee will be charged for each cubic meter.  
(1) A household plans to reduce its average monthly water usage by 4 cubic meters in response to the call for water conservation, allowing the use of 480 cubic meters of water for an additional 4 months compared to the past. What is the planned average monthly water usage of this household?  
(2) If the actual average monthly water usage of this household exceeds the planned average monthly water usage by 40% for 4 months of the year, and the remaining 8 months follow the plan, how much will this household need to pay for water for the year under the new payment method?

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