
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 dairy factory currently has 20 tons of fresh milk. If sold directly, each ton can make a profit of 500 yuan. If processed into yogurt, each ton can make a profit of 1000 yuan. If processed into milk powder, each ton can make a profit of 1800 yuan. The factory's production capacity is as follows: if processed into yogurt, 6 tons of fresh milk can be processed each day; if processed into milk powder, 2 tons of fresh milk can be processed each day (both processing methods cannot be undertaken at the same time). Due to temperature constraints, this batch of fresh milk must be sold or fully processed within 4 days. Therefore, the factory has designed the following two feasible plans: 
Plan One: Use all 4 days to produce milk powder, and directly sell the remaining fresh milk; 
Plan Two: Process a portion into milk powder, the rest into yogurt, and just complete within 4 days.
Which plan do you believe would yield higher profits? Explain why by calculation or by setting up an equation.

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