In needlepunching operations, the needle penetrates through the fibrous batt, and barbs present on the needle perform the work of entangling fibers to create the fabric. The arrangement and workload of these barbs are crucial in determining their efficiency and the quality of the resulting fabric.

The image shows three barbs on a needle at the positions labeled P, Q, and R. To determine the order of these barbs in terms of workload during the operation, we need to consider their role during the penetration and withdrawal of the needle:

1. During penetration, the lowest barb (P) will engage first with the fibers, starting the entanglement process. It carries the most workload as it is the first point of contact.
2. The barb at position R will engage next in line after P, further entangling the fibers. It has a lesser workload compared to P as some entanglement work is already done by P.
3. Finally, the barb at position Q will engage last, carrying the least amount of workload since most of the entanglement is completed by P and R.

Thus, the workload order of the barbs from highest to lowest is P > R > Q.

Therefore, the correct answer is: P > R > Q.