What is Agility in a SOA context?

In General a companys ability to respond quickly and well to change is nown as agility. The main promise of service-oriented architecture is that a well-crafted SOA will increase agility over time

What factors judge complexity of the business problem addressed by SOA

ROI/Business value achieved, Agility/Innovation/Flexibility/Optimization/resilience, the level and sophistication of the cross-organizational collaboration (business/Technical), The usage of SOA approaches and supporting technology and lessons learned.