
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 workshop produces transformers of types $A$ and $B$. One transformer of type $A$ uses 5 kg of transformer iron and 3 kg of wire, while one transformer of type $B$ uses 3 kg of iron and 2 kg of wire. The profit from selling one transformer of type $A$ is 12 thousand rubles, and for type $B$ it is 10 thousand rubles. The shift's iron inventory is 481 kg, and the wire inventory is 301 kg. How many transformers of types $A$ and $B$ should be produced per shift to obtain the maximum profit from sales, given that the resource usage does not exceed the allocated shift inventories? What will be the maximum profit?



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