Medicare is an insurance program. Medical bills are paid from trust funds which those covered have paid into. It serves people over 65 primarily, whatever their income; and serves younger disabled people and dialysis patients. Patients pay part of costs through deductibles for hospital and other costs. Small monthly premiums are required for non-hospital coverage. Medicare is a federal program.
Product branding, on the other hand, is a marketing strategy wherein a business promotes and markets an individual product without the company name being front and center in the advertising campaigns or even on the product labeling.
Family branding is a marketing strategy that involves selling several related products under one brand name. Family branding is also known as umbrella branding. It contrasts with individual product branding, in which each product in a portfolio is given a unique brand name and identity. There are often economies of scope associated with family branding since several products can be efficiently promoted with a single advertisement or campaign.