Assume that a certain nursing home has two categories of payers. Medicaid pays $60 per day and private-pay patients pay the established per diem, but approximately 10% of private-pay charges are not collected. If 50% of the patients are Medicaid and 50% are private pay, what rate must be set to generate $150,000 in profit? Variable costs are $45 per day, and fixed costs are expected to be $1,000,000. Expected volume is 50,000 patient days.