
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 items of types $A$ and $B$. One item of type $A$ requires 10 kg of steel and 23 kg of non-ferrous metals, while an item of type $B$ requires 70 kg of steel and 40 kg of non-ferrous metals. The profit from selling an item of type $A$ is 80 thousand rubles, and for type $B$ it is 100 thousand rubles. The daily supply of steel is 700 kg, and non-ferrous metals is 642 kg. How many items of types $A$ and $B$ should be produced per shift to maximize profit from sales, given that resource consumption should not exceed the allocated supplies for the shift? State the maximum profit (in thousand rubles) that can be obtained under these conditions as a single number without specifying the unit.

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