
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 fertilizer factory produces two types of mixed fertilizers, type A and type B. To produce one carload of type A fertilizer, the main ingredients required are 4 tons of phosphate and 18 tons of nitrate; to produce one carload of type B fertilizer, the main ingredients required are 1 ton of phosphate and 15 tons of nitrate. Currently, the factory has a stock of 10 tons of phosphate and 66 tons of nitrate. Based on this stock, the factory needs to plan the production of these two types of mixed fertilizers. If producing one carload of type A fertilizer generates a profit of 10,000 yuan, and producing one carload of type B fertilizer generates a profit of 5,000 yuan, how should the production be arranged to achieve the maximum profit?

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