Final answer:
Integration is the joint logistic imperative that aligns the mission, commander's intent, and operational objectives with logistic processes and organizations.
Step-by-step explanation:
The joint logistic imperative that links the mission, commander's intent, and operational objectives to core logistic capabilities, procedures, and organizations is integration. Integration ensures that logistic activities are planned and conducted in a way that aligns with the overall strategy and operational efforts. It enables synchronized efforts across various services and units to support the overall mission. Effective logistic integration also allows for better anticipation of logistic requirements, manages resources efficiently, and facilitates a smooth flow of operations.