Final answer:
An example of a transdermal formulation including nitroglycerin is a patch. For home administration of an antimicrobial for systemic infections, the oral route is generally preferred for its convenience and ease of use compared to other methods requiring medical supervision or equipment.
Step-by-step explanation:
The example of a transdermal formulation that includes nitroglycerin is a patch. A transdermal patch is a medicated adhesive patch that is placed on the skin to deliver a specific dose of medication through the skin and into the bloodstream. This provides a controlled release of the drug into the patient, typically over 24 hours. Nitroglycerin, used to relieve chest pain in heart disease, is commonly administered in this form for its ease of use and steady medication levels in the bloodstream.
Regarding the question on the appropriate and convenient route of administration for home administration of an antimicrobial to treat a systemic infection, the oral route (A.) is generally preferred because of its convenience for home use. Other methods like intravenous (B.) or parenteral (D.) typically require medical supervision or equipment. Topical administration (C.) is not suitable for systemic infections as it is used for superficial skin infections.