Problem $5-41($Algorithmic$)($LO$.2)$

Fran spent the last $95$ days of $2023$ in a nursing home. The cost of the services provided to her was $$30,875($$$325$ per day$).$ Medicare paid $$8,400$ toward the cost of her stay. Fran also received $$14,360$ of benefits under a long$-$term care insurance policy she purchased. Assume that the Federal daily excludible amount is $$420.$