Answer:
The main advantage of using ABC costing method is that it is more exact than traditional costing, and overhead costs are generally allocated on different basis (cost drivers) which results in a more fair distribution.
In this case, overhead costs allocated based solely on direct labor hours might be over or under stated since certain manufacturing procedures might require a lot of labor but few machines, while others might require few labor and a lot of machines.
Cutting is done mostly by machines while design is done mostly by employees. Allocating cutting overhead costs based on machine hours makes sense. Since both wool and cotton require the same amount of machine hours, cutting costs are allocated equally between them.
On the other hand, design is carried out by employees, so allocating design costs based on set ups (which is also carried out by employees) makes sense. That is why most of design costs are allocated to wool (wool requires 67% of setups).
Before under the traditional method, overhead costs were allocated evenly, but once we start allocating them based on more real cost drivers, the total amounts change.