Suggest Remedy For Cough And Chest Congestion

I have been coughing up phlegm for 5 weeks. Finished a round of amoxicillin last week. No change. I don t feel sick, just tired of coughing stuff up. Maybe once or twice a day I go on a coughing jag. I don t smoke, am usually very healthy, and have never had this condition. I can breathe out my nose... so real congestion there, and my chest isn t tight. I m just awfully irritating to be around!