Total cost $100,000 Total volume 1,000 Average cost $100 Payer volumes Medicare (payment rate = $95) 400 Medicaid (payment rate = $75) 100 Managed Care # 1 (payment rate = $110) 300 Managed Care # 2 (pay 80% of charges) 100 Uninsured (pay 10% of charges) 100 Total all payers 1,000 Desired net income $5,000 Medicare and Medicaid presently account for 50% of the volume. The hospital wishes to reduce its dependence on government payers. Assume that Medicare volume is reduced to 380 patients and Medicaid volume is reduced to 90 patients. The volume from managed-care plan #1 rises to 320 patients from 300. The volume from managed-care plan #2 increases to 110 patients. Thus, total volume is unchanged at 1,000 visits. What is the new price necessary assuming all other factors are unchanged? please show work