
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 brewery, in order to meet market demands, started producing wine in addition to beer from the year 2016, with a beer production of 16,000 tons and wine production of 1,000 tons in 2016. The brewery plans to decrease its beer production by 50% and increase its wine production by 100% every year starting from 2017. The questions are:

(1) In which year will the sum of the annual production of beer and wine be the lowest?

(2) Starting from 2016 (inclusive), after how many years will the total production of wine be not less than $\frac{2}{3}$ of the total production of both beer and wine? (The total production refers to the sum of the annual productions over the years.)

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