61 LR Two Question 19
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Comments

How would you put this into a conditional formulation?
I put Q and (not)W -> most P

I'd have written:
No Q(ualified candidates work here) → M(ost productive person should be hired)

After reading the passage I naturally wrote conditional relationship like yours ~ Q -> M.
However, when I learned the NONE in theory videos, the relationship was None A is B as A -> ~B.
I wonder why there is the difference between this passage and the theory video.

They are different sentences with different meanings, sentence structures, and logical implications.
The sentence as written is of the form "If... then..." as follows:
"If there are NO Qualified candidates at the company, then they should hire the most Productive candidate."
~Q → P
The construction you've referenced would look something like:
"No Qualified candidates are Productive."
Q → ~P
The former prescribes a conditioned action. The latter describes the candidate pool. The fact that both sentences contain the word "no" is insufficient to assert a logical parallel between them.