It is necessary to produce a sized beam of medium set with $6480+20$ selvedge ends. The best combination of number of ends and beam in Creel zone of sizing is
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Creel design prioritizes balanced beam loading and practical machine configuration over exact arithmetic matching.
Concept:
In sizing creel design, the total number of warp ends is distributed across beams and packages. The goal is to achieve the required total ends including selvedge ends while maintaining manageable package size and uniform tension control.
Step 1: Understand requirement.
Total ends required:
\[
6480 + 20 = 6500 \text{ ends}
\]
Step 2: Check combinations.
We need:
\[
\text{Ends per beam} \times \text{Number of beams} \approx 6500
\]
Step 3: Evaluate options.
• 540 × 12 = 6480 (very close to main ends requirement)
• 540 × 14 = 7560 (excess)
• 500 × 13 = 6500 but less practical creel balance
Industrial creel design prefers balanced beam loading, hence:
\[
540 \times 12
\]
Step 4: Final answer selection.
\[
\boxed{540 \times 12}
\]
Thus,
\[
\boxed{\text{Option (C) is correct.}}
\]
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