
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
Every day, 12 tons of potatoes are delivered to the city using one type of transport from three collective farms. The price per ton is 4 rubles from the first farm, 3 rubles from the second farm, and 1 ruble from the third farm. To ensure timely delivery, the loading process for the required 12 tons should take no more than 40 minutes. It is known that the level of mechanization in the first farm allows loading 1 ton in 1 minute, in the second farm - 4 minutes, and in the third farm - 3 minutes. The production capacities of these farms are such that the first farm can supply no more than 10 tons per day, the second no more than 8 tons, and the third no more than 6 tons. How should the order for the supply of 12 tons be distributed among the farms so that the total cost of the potatoes delivered to the city is minimized?

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