
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
An oil and gas extraction company set a task to revise its sales strategy for natural and liquefied gas during the winter season. During a mild winter, it is possible to supply 2200 cubic meters of natural gas and 3500 cubic meters of liquefied gas, while in the event of severe cold, it is possible to supply 3800 cubic meters of natural gas and 2450 cubic meters of liquefied gas. The cost of extraction and transportation for one cubic meter of natural gas is 19 monetary units, and for liquefied gas, it is 25 monetary units. The end consumer price for natural and liquefied gas is 35 and 58 monetary units, respectively. Determine the company's optimal strategy to achieve maximum profit regardless of weather conditions.

Note: The answer should be the planned amount of natural and liquefied gas to extract and deliver.

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