
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 products of types $A$ and $B$. Producing one unit of product $A$ requires 10 kg of steel and 23 kg of non-ferrous metals, while producing one unit of product $B$ requires 70 kg of steel and 40 kg of non-ferrous metals. The profit from selling one unit of product $A$ is 80 thousand rubles, and for product $B$, it's 100 thousand rubles. The daily steel reserve is 700 kg, and the reserve of non-ferrous metals is 642 kg. How many units of products $A$ and $B$ should be produced per shift to maximize profit without exceeding the available resources? Record the maximum profit (in thousands of rubles) that can be obtained under these conditions as an integer without indicating the unit.

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