Why xd isgreater than xq?

In the context of optimization or decision-making, ( x_d ) (the optimal solution) is often greater than ( x_q ) (the quality or a suboptimal solution) because ( x_d ) represents the best possible outcome that maximizes or minimizes a certain objective. This difference can arise due to factors such as better resource allocation, more efficient processes, or superior strategies that lead to higher performance. Essentially, ( x_d ) reflects the ideal conditions or choices, while ( x_q ) may be constrained by limitations or less effective approaches.