Concept:
Matching problems in textile engineering often relate machines, speeds, and accessories to their corresponding applications or systems.
Step 1: Match warping speed A.
A (2000 mpm warping speed) corresponds to System D high-speed warping range:
\[
A \rightarrow III
\]
Step 2: Match skewer B.
Skewer is used in BC spooler system:
\[
B \rightarrow VI
\]
Step 3: Match wooden drum C.
Wooden drum is associated with System D:
\[
C \rightarrow II
\]
Step 4: Match Uster Classimat D.
Uster Classimat is used in BC spooler quality classification:
\[
D \rightarrow I
\]
Step 5: Final answer selection.
\[
\boxed{A-III,\; B-VI,\; C-II,\; D-I}
\]
Thus,
\[
\boxed{\text{Option (A) is correct.}}
\]