The correct answer is D) vessel and bunker facility must be independently inspected by the designated persons-in-charge. This is the correct answer because the Code of Federal Regulations (CFR) requires that prior to a bunker transfer, the designated person-in-charge (DPIC) of both the vessel and the bunker facility must independently inspect each other's operations to ensure all requirements of the Declaration of Inspection are met. Neither the Coast Guard nor a single DPIC can conduct the required inspections on behalf of both parties. The other options are incorrect because they do not accurately reflect the regulatory requirements for verifying Declaration of Inspection compliance during oil transfer operations.