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LPNs, also known as Licensed Vocational Nurses (LVNs) in some states, are nursing professionals who have completed an accredited practical nursing program and passed the National Council Licensure Examination for Practical Nurses (NCLEX-PN). LPNs work under the supervision of a Registered Nurse (RN) and are generally responsible for providing basic nursing care to patients. The tasks they can perform vary depending on state regulations, but they generally include duties such as: - Monitoring patients' vital signs - Administering medications (except for certain intravenous medications) - Providing basic wound care - Assisting with activities of daily living (bathing, dressing, etc.) - Collecting lab samples and performing routine tests

Now that we know the general scope of an LPN's practice, let's look at each option and determine if it falls within that scope: A. Performing tracheostomy suctioning on a client with a permanent trach This task involves a high level of skill and specialized training that goes beyond the basic nursing care provided by an LPN. This task should be handled by an RN. B. Administering total parenteral nutrition to a client with cancer Total parenteral nutrition (TPN) is a specialized form of intravenous nutrition, which is typically outside the scope of practice for an LPN. This task should also be handled by an RN. C. Obtaining initial vital signs on a client receiving a blood transfusion This task falls within the basic nursing care that an LPN is trained to provide. An LPN can monitor vital signs and report any abnormalities to a supervising RN. D. Performing discharge teaching for a client with diabetes mellitus Discharge teaching usually involves providing comprehensive patient education, such as managing chronic conditions and medication administration, which typically falls within the RN's scope of practice. An LPN might assist with certain aspects of discharge teaching, but overall responsibility lies with the RN.

Based on our evaluation of each option, the duty that can be assigned to the LPN is: C. Obtaining initial vital signs on a client receiving a blood transfusion.