Which process has the following objective "Establish new or changed services into supported environments within the predicted cost, time and resource estimates"?

Service Strategy is a lifecycle stage, not a process with deployment objectives - it focuses on defining strategy, service portfolios, and aligning IT with business goals.

Service Transition Planning and Support is the ITIL process responsible for planning and coordinating the use of resources across multiple projects and changes to ensure services are transitioned into the live environment in a controlled, cost-effective, and timely manner. Its primary objective explicitly addresses meeting predicted cost, time, and resource estimates, making it the direct match for the objective described.

Service Level Management is concerned with negotiating, agreeing, and monitoring service level targets and agreements, not with planning the physical transition of services into production.

Change Management focuses on controlling the lifecycle of all changes to minimize disruption to services, but its objective is not specifically framed around meeting cost, time, and resource estimates for establishing services.