Discussion
What determines the cost of variable elimination?
Answer: C
The elimination order determines how large the intermediate factors become, and the largest one dominates the cost, which is why finding a good order matters so much. That largest size is related to the network's treewidth. Node counts, domain sizes and evidence contribute but do not govern. A cost determined by a structural parameter rather than by size is what makes structured problems tractable and unstructured ones hopeless. Working one numerical case through both cases side by side fixes the distinction better than any rule of thumb.
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