Final answer:
You should NOT serve Jennifer another drink if she is already intoxicated. Instead, offer non-alcoholic beverages, refuse further service of alcohol, and arrange a safe ride home for her.
Step-by-step explanation:
When dealing with a person who is intoxicated, such as Jennifer at the bar, the correct course of action is to ensure their safety and the safety of others. In this scenario, Option 1: Serve her another drink is what you should NOT do. Continuing to serve alcohol to someone who is visibly intoxicated is not only irresponsible but can also be illegal depending on the jurisdiction.
Instead, doing the following is advisable: Option 2: Offer her water or non-alcoholic beverages to help her stay hydrated, Option 3: Politely explain the situation and refuse service to help prevent further intoxication and possible harm, and Option 4: Call a taxi or arrange a safe ride home for her to ensure she reaches home safely without endangering herself or others.