National chain Amedisys Inc. has agreed to pay about $125 million for Boston-based Beacon Hospice Inc. Beacon has 23 free-standing locations and one inpatient unit in Massachusetts (11), Maine (5), New Hampshire (5), Rhode Island (2) and Connecticut (1), Baton Rouge, La.-based Amedisys says in a release. Beacon had about $80 million in revenues in 2010, Amedisys says. "Many of Beacon's hospice locations [match] the market presence of our existing home health care centers," Amedisys CEO William Borne says in the release. Beacon has an average daily census of about 1,300, Amedisys Hospice Care's James Robinson says in the release. "The addition of Beacon will increase the number of hospice patients under our care by nearly 40 percent," Robinson says.