A nursing home has two categories of payers. Medicaid pays $60 per day and private pay patients pay the established daily charge, but approximately 10% of private pay charges are not collected. If 50 percent of the patients are Medicaid and 50 percent are private pay, what charge rate must be set to generate $150,000 in profit? Variable costs are $45.00 per day and fixed costs are expected to be $1,000,000. Expected volume is 50,000 patient days