Centers Cuts Rate From $510 to $410 Nursing Home Fee Affects ‘Private Payers’ By JIM KEVLIN • Special to www.AllOTSEGO.com COOPERSTOWN – Centers Healthcare has advised the local Family Council it will scale back its April 1 increase in the “private payer” rate at its local nursing home (the former Focus) from $510 to $410 a day, Family Council chair Betsy Hayes has reported in an e-mail. She said Aharon Lantzitsky, Centers division president, had just called her: “He wanted…